Analysis of biodiversity data

Setup

SAD curves

We can obtain the Species Abundance Distribution for our samples To use the library {sads}, and the example data on moth abundance.

data(moths)
moths
##   [1]    1    1    1    1    1    1    1    1    1    1    1    1    1    1    1
##  [16]    1    1    1    1    1    1    1    1    1    1    1    1    1    1    1
##  [31]    1    1    1    1    1    2    2    2    2    2    2    2    2    2    2
##  [46]    2    3    3    3    3    3    3    3    3    3    3    3    3    3    3
##  [61]    3    4    4    4    4    4    4    4    4    4    4    4    4    4    4
##  [76]    5    5    5    5    5    5    5    5    5    5    6    6    6    6    6
##  [91]    6    6    6    6    6    6    7    7    7    7    7    8    8    8    8
## [106]    8    8    9    9    9    9   10   10   10   10   11   11   12   12   13
## [121]   13   13   13   13   14   14   15   15   15   15   16   16   16   17   17
## [136]   17   18   18   18   19   19   19   20   20   20   20   21   22   22   22
## [151]   23   23   23   24   25   25   25   26   27   28   28   28   29   29   32
## [166]   34   34   36   36   36   37   37   43   43   44   44   45   49   49   49
## [181]   51   51   51   51   52   53   54   54   57   58   58   60   60   60   61
## [196]   64   67   73   76   76   78   84   89   96   99  109  112  120  122  129
## [211]  135  141  148  149  151  154  177  181  187  190  199  211  221  226  235
## [226]  239  244  246  282  305  306  333  464  560  572  589  604  743  823 2349
?moths

Preston plot

First, we are going to obtain the Preston plot, also known as octaves. This plot represents the number of species in classes of logarithm of abundances at base 2.

moths.oc <- octav(moths)
moths.oc
##    octave upper Freq
## 1       0     1   35
## 2       1     2   11
## 3       2     4   29
## 4       3     8   32
## 5       4    16   26
## 6       5    32   32
## 7       6    64   31
## 8       7   128   13
## 9       8   256   19
## 10      9   512    5
## 11     10  1024    6
## 12     11  2048    0
## 13     12  4096    1
## 14     13  8192    0
plot(moths.oc)

Whittaker diagram

We can also obtain the Whittaker plot for our data. This is the rank-abundance diagram

# for the moths data
moths.rad <- rad(moths)
plot(moths.rad, ylab="Number of individuals")

Species Abundance Distributions: fitting curves

We are going to fit some curves to the rank abundance plot

# build the model
moths.ge <- fitsad(x=moths, sad="geom") # geometric distribution
moths.ls <- fitsad(x=moths, sad="ls") # log series distribution
moths.ln <- fitsad(x=moths, sad="lnorm") #log-normal distribution

# get rank abundance objects
moths.ge.rad <- radpred(moths.ge)
moths.ls.rad <- radpred(moths.ls)
moths.ln.rad <- radpred(moths.ln)


# Plot the curves
plot(moths.ln.rad)

plot(moths.ln.rad, xlab = "Rank", ylab = "Abundance", log = "y",
     type = "l", col = "green", lty = 1, lwd = 6)

# We can superimpose the curve to the rank plot
plot(moths.rad)
lines(moths.ge.rad, col="red")
lines(moths.ls.rad, col="blue")
lines(moths.ln.rad, col="green")
legend("topright",c("Geometric", "Logseries", "lognormal"),lty=1, col=c("red", "blue", "green"))

## looking at the fits
logLik(moths.ge)
## 'log Lik.' -1240.137 (df=1)
logLik(moths.ls)
## 'log Lik.' -1087.713 (df=1)
logLik(moths.ln)
## 'log Lik.' -1097.723 (df=2)

Alpha diversity

Shannon index

Let us calculate Shannon index using example data from the power point

birds1 <- data.frame(Species = c('BlueTit', 'Robin', 'Magpie',
                                     'GreatTit'),
                         Abundance = rep(9, 4))
birds1
##    Species Abundance
## 1  BlueTit         9
## 2    Robin         9
## 3   Magpie         9
## 4 GreatTit         9
## now let us get the pi, ln(pi), N and S to calculate Shannon index
N <- sum(birds1$Abundance)
S <- nrow(birds1)

pi <- birds1$Abundance/N
lnpi <- log(pi)

H <- -sum(pi*lnpi)
H
## [1] 1.386294

Community structure: {vegan} package

vegdist() function allows calculating multiple community dissimilarity indices.

# 1. transpose the data
birds1.transpose <- as.data.frame(t(birds1[, -1]))
colnames(birds1.transpose) <- birds1$Species
birds1.transpose
##   BlueTit Robin Magpie GreatTit
## 1       9     9      9        9
# Get diversity value
?diversity
H_vegan <- diversity(birds1.transpose, index = "shannon")
H_vegan
## [1] 1.386294

Properties of Diversity indices

Shannon diversity vs Hill numbers

If we have two communities with no species in common, the diversity of both togheter should be the sum of the diversities of each one

# We create a second community with no species in common with the first one
birds2 <- data.frame(Species = c('Sparrow', 'Dove', 'Crow'),
                         Abundance = c(4,5,20))
birds2 
##   Species Abundance
## 1 Sparrow         4
## 2    Dove         5
## 3    Crow        20
# the transpose matrix for the analysis
birds2.transpose <- as.data.frame(t(birds2[, -1]))
colnames(birds2.transpose) <- birds2$Species
birds2.transpose
##   Sparrow Dove Crow
## 1       4    5   20
# Both communities in the same table 
# transpose data and get sums 

birds.both <- merge(birds1, birds2, by = 'Species', all = T)
birds.both$Abundance.x[is.na(birds.both$Abundance.x)] <- 0
birds.both$Abundance.y[is.na(birds.both$Abundance.y)] <- 0
birds.both
##    Species Abundance.x Abundance.y
## 1  BlueTit           9           0
## 2     Crow           0          20
## 3     Dove           0           5
## 4 GreatTit           9           0
## 5   Magpie           9           0
## 6    Robin           9           0
## 7  Sparrow           0           4
birds.all <- rowSums(birds.both[,2:3])
birds.all
## [1]  9 20  5  9  9  9  4
both.trans <- as.data.frame(t(birds.both[, -1]))

colnames(both.trans) <- birds.both$Species
rownames(both.trans) <- c("birds1", "birds2")
both.trans
##        BlueTit Crow Dove GreatTit Magpie Robin Sparrow
## birds1       9    0    0        9      9     9       0
## birds2       0   20    5        0      0     0       4
all.trans <- colSums(both.trans)

# shannon diversity for each sample and for the sum
H1 <- diversity(both.trans, index = "shannon")
H2 <- diversity(all.trans, index = "shannon")

H1
##    birds1    birds2 
## 1.3862944 0.8325713
H2
## [1] 1.826586
# Hill number order 1 (library iNEXT)
HN1.birds1 <- iNEXT(birds1$Abundance)
HN1.birds1$AsyEst
##                   Observed Estimator  Est_s.e. 95% Lower 95% Upper
## Species Richness         4  4.000000 0.0000000  4.000000  4.000000
## Shannon diversity        4  4.174206 0.1384683  3.902814  4.445599
## Simpson diversity        4  4.375000 0.2592758  3.866829  4.883171
HN1.birds2 <- iNEXT(birds2$Abundance)
HN1.birds2$AsyEst
##                   Observed Estimator  Est_s.e. 95% Lower 95% Upper
## Species Richness  3.000000  3.000000 0.1574869  2.691331  3.308669
## Shannon diversity 2.299223  2.383059 0.2975954  1.799783  2.966335
## Simpson diversity 1.907029  1.970874 0.3433822  1.297857  2.643891
HN1.birdsboth <- iNEXT(birds.all)
HN1.birdsboth$AsyEst
##                   Observed Estimator  Est_s.e. 95% Lower 95% Upper
## Species Richness  7.000000  7.000000 0.1493947  6.707192  7.292808
## Shannon diversity 6.212639  6.513826 0.4162815  5.697930  7.329723
## Simpson diversity 5.522876  5.942857 0.6816325  4.606882  7.278832

Hill Numbers

Get the Hill Number with q = 0 (Species richness)

Load data from the library about spider samples in two locations

data(spider)
str(spider)
## List of 2
##  $ Girdled: num [1:26] 46 22 17 15 15 9 8 6 6 4 ...
##  $ Logged : num [1:37] 88 22 16 15 13 10 8 8 7 7 ...
example1 <- iNEXT(spider, q = 0, datatype = "abundance")

example1$DataInfo
##   Assemblage   n S.obs     SC f1 f2 f3 f4 f5 f6 f7 f8 f9 f10
## 1    Girdled 168    26 0.9289 12  4  0  1  0  2  0  1  1   0
## 2     Logged 252    37 0.9446 14  4  4  3  1  0  3  2  0   1
#Show a summary of the data with diversity estimates in rarefied and extrapolated samples
example1$iNextEst
## $size_based
##    Assemblage   m        Method Order.q        qD    qD.LCL    qD.UCL        SC
## 1     Girdled   1   Rarefaction       0  1.000000  1.000000  1.000000 0.1223268
## 2     Girdled  10   Rarefaction       0  6.478617  6.039687  6.917547 0.5969308
## 3     Girdled  19   Rarefaction       0  9.450323  8.602694 10.297951 0.7380651
## 4     Girdled  28   Rarefaction       0 11.514220 10.298221 12.730218 0.8034337
## 5     Girdled  37   Rarefaction       0 13.126817 11.573437 14.680198 0.8389628
## 6     Girdled  47   Rarefaction       0 14.622424 12.726685 16.518163 0.8623491
## 7     Girdled  56   Rarefaction       0 15.802849 13.623401 17.982296 0.8760357
## 8     Girdled  65   Rarefaction       0 16.877170 14.432819 19.321520 0.8858194
## 9     Girdled  74   Rarefaction       0 17.873934 15.180140 20.567729 0.8931774
## 10    Girdled  84   Rarefaction       0 18.912360 15.956480 21.868239 0.8995141
## 11    Girdled  93   Rarefaction       0 19.797701 16.617478 22.977923 0.9041168
## 12    Girdled 102   Rarefaction       0 20.644613 17.249496 24.039729 0.9080200
## 13    Girdled 111   Rarefaction       0 21.458439 17.856694 25.060183 0.9114464
## 14    Girdled 120   Rarefaction       0 22.242813 18.441618 26.044009 0.9145496
## 15    Girdled 130   Rarefaction       0 23.082755 19.067063 27.098446 0.9177469
## 16    Girdled 139   Rarefaction       0 23.812028 19.608490 28.015565 0.9204781
## 17    Girdled 148   Rarefaction       0 24.517097 20.129459 28.904735 0.9231226
## 18    Girdled 157   Rarefaction       0 25.198592 20.629421 29.767763 0.9257162
## 19    Girdled 167   Rarefaction       0 25.928571 21.159253 30.697890 0.9285714
## 20    Girdled 168      Observed       0 26.000000 21.210696 30.789304 0.9288554
## 21    Girdled 169 Extrapolation       0 26.071145 21.261855 30.880434 0.9291383
## 22    Girdled 177 Extrapolation       0 26.630211 21.660857 31.599565 0.9313612
## 23    Girdled 186 Extrapolation       0 27.238226 22.087902 32.388549 0.9337788
## 24    Girdled 195 Extrapolation       0 27.824825 22.491883 33.157767 0.9361112
## 25    Girdled 204 Extrapolation       0 28.390763 22.872957 33.908569 0.9383615
## 26    Girdled 212 Extrapolation       0 28.877064 23.192669 34.561458 0.9402951
## 27    Girdled 221 Extrapolation       0 29.405941 23.531264 35.280617 0.9423979
## 28    Girdled 230 Extrapolation       0 29.916190 23.847959 35.984421 0.9444268
## 29    Girdled 239 Extrapolation       0 30.408468 24.143261 36.673674 0.9463841
## 30    Girdled 248 Extrapolation       0 30.883406 24.417740 37.349073 0.9482726
## 31    Girdled 256 Extrapolation       0 31.291513 24.644742 37.938284 0.9498953
## 32    Girdled 265 Extrapolation       0 31.735349 24.881616 38.589083 0.9516600
## 33    Girdled 274 Extrapolation       0 32.163554 25.099560 39.227547 0.9533626
## 34    Girdled 283 Extrapolation       0 32.576676 25.299282 39.854071 0.9550052
## 35    Girdled 292 Extrapolation       0 32.975248 25.481497 40.468998 0.9565900
## 36    Girdled 300 Extrapolation       0 33.317733 25.629354 41.006111 0.9579518
## 37    Girdled 309 Extrapolation       0 33.690203 25.780471 41.599936 0.9594328
## 38    Girdled 318 Extrapolation       0 34.049555 25.916157 42.182953 0.9608616
## 39    Girdled 327 Extrapolation       0 34.396250 26.037114 42.755386 0.9622401
## 40    Girdled 336 Extrapolation       0 34.730733 26.144027 43.317440 0.9635701
## 41     Logged   1   Rarefaction       0  1.000000  1.000000  1.000000 0.1445014
## 42     Logged  14   Rarefaction       0  8.353329  7.740212  8.966446 0.5883461
## 43     Logged  28   Rarefaction       0 13.222439 12.138154 14.306724 0.7118410
## 44     Logged  42   Rarefaction       0 16.765525 15.277338 18.253713 0.7809656
## 45     Logged  56   Rarefaction       0 19.532844 17.681773 21.383916 0.8236635
## 46     Logged  70   Rarefaction       0 21.804004 19.617438 23.990570 0.8521804
## 47     Logged  84   Rarefaction       0 23.734513 21.231455 26.237571 0.8724155
## 48     Logged  98   Rarefaction       0 25.418159 22.611871 28.224447 0.8874459
## 49     Logged 112   Rarefaction       0 26.915447 23.815466 30.015427 0.8990090
## 50     Logged 126   Rarefaction       0 28.267510 24.881317 31.653703 0.9081562
## 51     Logged 139   Rarefaction       0 29.418556 25.772524 33.064588 0.9150769
## 52     Logged 153   Rarefaction       0 30.565961 26.646309 34.485612 0.9212585
## 53     Logged 167   Rarefaction       0 31.633749 27.447009 35.820489 0.9264196
## 54     Logged 181   Rarefaction       0 32.634744 28.187551 37.081936 0.9307716
## 55     Logged 195   Rarefaction       0 33.579251 28.878180 38.280321 0.9344627
## 56     Logged 209   Rarefaction       0 34.475787 29.527102 39.424471 0.9376004
## 57     Logged 223   Rarefaction       0 35.331544 30.140912 40.522175 0.9402668
## 58     Logged 237   Rarefaction       0 36.152671 30.724879 41.580462 0.9425289
## 59     Logged 251   Rarefaction       0 36.944444 31.283129 42.605760 0.9444444
## 60     Logged 252      Observed       0 37.000000 31.322108 42.677892 0.9445706
## 61     Logged 253 Extrapolation       0 37.055429 31.360971 42.749888 0.9446965
## 62     Logged 266 Extrapolation       0 37.764657 31.855428 43.673887 0.9463075
## 63     Logged 279 Extrapolation       0 38.453226 32.329179 44.577272 0.9478715
## 64     Logged 292 Extrapolation       0 39.121736 32.781425 45.462048 0.9493900
## 65     Logged 305 Extrapolation       0 39.770774 33.211658 46.329890 0.9508643
## 66     Logged 319 Extrapolation       0 40.448609 33.650094 47.247124 0.9524039
## 67     Logged 332 Extrapolation       0 41.058995 34.034099 48.083891 0.9537904
## 68     Logged 345 Extrapolation       0 41.651601 34.396051 48.907151 0.9551365
## 69     Logged 358 Extrapolation       0 42.226944 34.736312 49.717576 0.9564433
## 70     Logged 371 Extrapolation       0 42.785528 35.055377 50.515680 0.9577121
## 71     Logged 385 Extrapolation       0 43.368897 35.375956 51.361837 0.9590372
## 72     Logged 398 Extrapolation       0 43.894216 35.652964 52.135468 0.9602304
## 73     Logged 411 Extrapolation       0 44.404233 35.910797 52.897669 0.9613889
## 74     Logged 424 Extrapolation       0 44.899393 36.150203 53.648584 0.9625136
## 75     Logged 437 Extrapolation       0 45.380130 36.371946 54.388314 0.9636056
## 76     Logged 451 Extrapolation       0 45.882197 36.591874 55.172520 0.9647460
## 77     Logged 464 Extrapolation       0 46.334305 36.779379 55.889231 0.9657729
## 78     Logged 477 Extrapolation       0 46.773243 36.951557 56.594929 0.9667699
## 79     Logged 490 Extrapolation       0 47.199395 37.109140 57.289650 0.9677379
## 80     Logged 504 Extrapolation       0 47.644456 37.263334 58.025578 0.9687488
##        SC.LCL    SC.UCL
## 1  0.09486019 0.1497934
## 2  0.54514280 0.6487189
## 3  0.69141955 0.7847107
## 4  0.76112415 0.8457433
## 5  0.80036396 0.8775617
## 6  0.82693449 0.8977638
## 7  0.84274865 0.9093228
## 8  0.85412240 0.9175163
## 9  0.86267920 0.9236757
## 10 0.87002318 0.9290049
## 11 0.87531910 0.9329144
## 12 0.87975551 0.9362844
## 13 0.88357481 0.9393180
## 14 0.88693895 0.9421603
## 15 0.89027497 0.9452189
## 16 0.89299700 0.9479592
## 17 0.89550827 0.9507369
## 18 0.89784849 0.9535840
## 19 0.90028669 0.9568562
## 20 0.90052217 0.9571887
## 21 0.90075598 0.9575207
## 22 0.90257216 0.9601503
## 23 0.90451769 0.9630399
## 24 0.90638179 0.9658406
## 25 0.90818150 0.9685414
## 26 0.90973737 0.9708527
## 27 0.91144671 0.9733492
## 28 0.91311901 0.9757345
## 29 0.91475898 0.9780093
## 30 0.91636987 0.9801753
## 31 0.91777916 0.9820113
## 32 0.91934049 0.9839795
## 33 0.92087715 0.9858481
## 34 0.92238967 0.9876208
## 35 0.92387828 0.9893018
## 36 0.92518147 0.9907221
## 37 0.92662497 0.9922406
## 38 0.92804445 0.9936788
## 39 0.92943974 0.9950405
## 40 0.93081068 0.9963295
## 41 0.10853339 0.1804693
## 42 0.54772805 0.6289641
## 43 0.67687803 0.7468040
## 44 0.74904174 0.8128894
## 45 0.79380575 0.8535212
## 46 0.82389267 0.8804681
## 47 0.84530901 0.8995221
## 48 0.86123262 0.9136591
## 49 0.87351088 0.9245070
## 50 0.88327596 0.9330364
## 51 0.89071876 0.9394351
## 52 0.89741351 0.9451035
## 53 0.90302262 0.9498166
## 54 0.90773234 0.9538109
## 55 0.91166377 0.9572617
## 56 0.91490097 0.9602999
## 57 0.91750911 0.9630245
## 58 0.91954521 0.9655125
## 59 0.92106344 0.9678254
## 60 0.92115520 0.9679861
## 61 0.92124635 0.9681467
## 62 0.92238591 0.9702291
## 63 0.92346952 0.9722736
## 64 0.92452638 0.9742537
## 65 0.92557442 0.9761541
## 66 0.92670492 0.9781029
## 67 0.92776197 0.9798188
## 68 0.92882810 0.9814448
## 69 0.92990337 0.9829832
## 70 0.93098667 0.9844375
## 71 0.93216026 0.9859141
## 72 0.93325428 0.9872065
## 73 0.93435017 0.9884276
## 74 0.93544580 0.9895814
## 75 0.93653912 0.9906720
## 76 0.93771183 0.9917801
## 77 0.93879457 0.9927513
## 78 0.93986981 0.9936701
## 79 0.94093619 0.9945396
## 80 0.94207336 0.9954243
## 
## $coverage_based
##    Assemblage        SC   m        Method Order.q        qD     qD.LCL
## 1     Girdled 0.1223268   1   Rarefaction       0  1.000000  0.8418432
## 2     Girdled 0.5969305  10   Rarefaction       0  6.478611  5.2154013
## 3     Girdled 0.7380650  19   Rarefaction       0  9.450319  7.5441381
## 4     Girdled 0.8034337  28   Rarefaction       0 11.514219  8.9609483
## 5     Girdled 0.8389628  37   Rarefaction       0 13.126816  9.9316196
## 6     Girdled 0.8623492  47   Rarefaction       0 14.622425 10.7104915
## 7     Girdled 0.8760358  56   Rarefaction       0 15.802851 11.2217300
## 8     Girdled 0.8858194  65   Rarefaction       0 16.877170 11.6006919
## 9     Girdled 0.8931774  74   Rarefaction       0 17.873934 11.8982533
## 10    Girdled 0.8995141  84   Rarefaction       0 18.912361 12.1307040
## 11    Girdled 0.9041168  93   Rarefaction       0 19.797701 12.3091571
## 12    Girdled 0.9080200 102   Rarefaction       0 20.644611 12.5360390
## 13    Girdled 0.9114464 111   Rarefaction       0 21.458439 12.7941745
## 14    Girdled 0.9145496 120   Rarefaction       0 22.242813 13.0671886
## 15    Girdled 0.9177469 130   Rarefaction       0 23.082756 13.3712270
## 16    Girdled 0.9204781 139   Rarefaction       0 23.812027 13.6349537
## 17    Girdled 0.9231226 148   Rarefaction       0 24.517096 13.8808353
## 18    Girdled 0.9257162 157   Rarefaction       0 25.198591 14.1087227
## 19    Girdled 0.9285714 166   Rarefaction       0 25.867399 14.2378341
## 20    Girdled 0.9288554 168      Observed       0 26.000000 14.3051867
## 21    Girdled 0.9291383 169 Extrapolation       0 26.071145 14.3161557
## 22    Girdled 0.9313612 177 Extrapolation       0 26.630211 14.3710346
## 23    Girdled 0.9337788 186 Extrapolation       0 27.238226 14.3750321
## 24    Girdled 0.9361112 195 Extrapolation       0 27.824825 14.3333387
## 25    Girdled 0.9383615 204 Extrapolation       0 28.390763 14.2641215
## 26    Girdled 0.9402951 212 Extrapolation       0 28.877064 14.1899639
## 27    Girdled 0.9423979 221 Extrapolation       0 29.405941 14.1008361
## 28    Girdled 0.9444268 230 Extrapolation       0 29.916190 14.0132352
## 29    Girdled 0.9463841 239 Extrapolation       0 30.408468 13.9270808
## 30    Girdled 0.9482726 248 Extrapolation       0 30.883406 13.8348582
## 31    Girdled 0.9498953 256 Extrapolation       0 31.291513 13.7403679
## 32    Girdled 0.9516600 265 Extrapolation       0 31.735349 13.6265545
## 33    Girdled 0.9533626 274 Extrapolation       0 32.163554 13.5083576
## 34    Girdled 0.9550052 283 Extrapolation       0 32.576676 13.3842112
## 35    Girdled 0.9565900 292 Extrapolation       0 32.975248 13.2559646
## 36    Girdled 0.9579518 300 Extrapolation       0 33.317733 13.1400107
## 37    Girdled 0.9594328 309 Extrapolation       0 33.690203 13.0091949
## 38    Girdled 0.9608616 318 Extrapolation       0 34.049555 12.8766029
## 39    Girdled 0.9622401 327 Extrapolation       0 34.396250 12.7433411
## 40    Girdled 0.9635701 336 Extrapolation       0 34.730733 12.6101581
## 41     Logged 0.1445014   1   Rarefaction       0  1.000000  0.7985919
## 42     Logged 0.5883460  14   Rarefaction       0  8.353325  6.5104884
## 43     Logged 0.7118410  28   Rarefaction       0 13.222439 10.7800398
## 44     Logged 0.7809655  42   Rarefaction       0 16.765522 13.7228463
## 45     Logged 0.8236635  56   Rarefaction       0 19.532847 15.8574299
## 46     Logged 0.8521804  70   Rarefaction       0 21.804005 17.4837785
## 47     Logged 0.8724155  84   Rarefaction       0 23.734512 18.7661086
## 48     Logged 0.8874459  98   Rarefaction       0 25.418157 19.7882172
## 49     Logged 0.8990090 112   Rarefaction       0 26.915446 20.6052996
## 50     Logged 0.9081562 126   Rarefaction       0 28.267511 21.2535953
## 51     Logged 0.9150769 139   Rarefaction       0 29.418557 21.6947792
## 52     Logged 0.9212585 153   Rarefaction       0 30.565959 21.8448017
## 53     Logged 0.9264196 167   Rarefaction       0 31.633750 21.6204597
## 54     Logged 0.9307716 181   Rarefaction       0 32.634745 21.3817077
## 55     Logged 0.9344627 195   Rarefaction       0 33.579250 21.2105289
## 56     Logged 0.9376004 209   Rarefaction       0 34.475786 21.1161684
## 57     Logged 0.9402668 223   Rarefaction       0 35.331543 21.1022647
## 58     Logged 0.9425289 237   Rarefaction       0 36.152671 21.1698373
## 59     Logged 0.9444444 250   Rarefaction       0 36.892629 21.2652626
## 60     Logged 0.9445706 252      Observed       0 37.000000 21.3306971
## 61     Logged 0.9446965 253 Extrapolation       0 37.055429 21.3443984
## 62     Logged 0.9463075 266 Extrapolation       0 37.764657 21.5117292
## 63     Logged 0.9478715 279 Extrapolation       0 38.453226 21.6771619
## 64     Logged 0.9493900 292 Extrapolation       0 39.121736 21.8429089
## 65     Logged 0.9508643 305 Extrapolation       0 39.770774 22.0002478
## 66     Logged 0.9524039 319 Extrapolation       0 40.448609 22.1577329
## 67     Logged 0.9537904 332 Extrapolation       0 41.058995 22.3017467
## 68     Logged 0.9551365 345 Extrapolation       0 41.651601 22.4340051
## 69     Logged 0.9564433 358 Extrapolation       0 42.226944 22.5541241
## 70     Logged 0.9577121 371 Extrapolation       0 42.785528 22.6759457
## 71     Logged 0.9590372 385 Extrapolation       0 43.368897 22.7953812
## 72     Logged 0.9602304 398 Extrapolation       0 43.894216 22.9004493
## 73     Logged 0.9613889 411 Extrapolation       0 44.404233 23.0022515
## 74     Logged 0.9625136 424 Extrapolation       0 44.899393 23.0978459
## 75     Logged 0.9636056 437 Extrapolation       0 45.380130 23.1891215
## 76     Logged 0.9647460 451 Extrapolation       0 45.882197 23.2835667
## 77     Logged 0.9657729 464 Extrapolation       0 46.334305 23.3657965
## 78     Logged 0.9667699 477 Extrapolation       0 46.773243 23.4427279
## 79     Logged 0.9677379 490 Extrapolation       0 47.199395 23.5148264
## 80     Logged 0.9687488 504 Extrapolation       0 47.644456 23.5874878
##       qD.UCL
## 1   1.158157
## 2   7.741822
## 3  11.356499
## 4  14.067489
## 5  16.322013
## 6  18.534359
## 7  20.383972
## 8  22.153648
## 9  23.849615
## 10 25.694019
## 11 27.286245
## 12 28.753183
## 13 30.122703
## 14 31.418438
## 15 32.794286
## 16 33.989100
## 17 35.153356
## 18 36.288459
## 19 37.496965
## 20 37.694813
## 21 37.826133
## 22 38.889388
## 23 40.101419
## 24 41.316311
## 25 42.517405
## 26 43.564163
## 27 44.711045
## 28 45.819145
## 29 46.889854
## 30 47.931955
## 31 48.842657
## 32 49.844144
## 33 50.818750
## 34 51.769141
## 35 52.694531
## 36 53.495455
## 37 54.371212
## 38 55.222507
## 39 56.049158
## 40 56.851309
## 41  1.201408
## 42 10.196161
## 43 15.664839
## 44 19.808197
## 45 23.208264
## 46 26.124232
## 47 28.702915
## 48 31.048097
## 49 33.225592
## 50 35.281426
## 51 37.142335
## 52 39.287116
## 53 41.647040
## 54 43.887781
## 55 45.947971
## 56 47.835403
## 57 49.560821
## 58 51.135504
## 59 52.519995
## 60 52.669303
## 61 52.766460
## 62 54.017585
## 63 55.229289
## 64 56.400564
## 65 57.541299
## 66 58.739485
## 67 59.816244
## 68 60.869197
## 69 61.899764
## 70 62.895110
## 71 63.942412
## 72 64.887983
## 73 65.806214
## 74 66.700941
## 75 67.571138
## 76 68.480828
## 77 69.302814
## 78 70.103759
## 79 70.883964
## 80 71.701424
# show asymptotic estimates
example1$AsyEst
##   Assemblage         Diversity  Observed Estimator       s.e.       LCL
## 1    Girdled  Species richness 26.000000 43.892857 23.2594776 26.000000
## 2    Girdled Shannon diversity 12.059650 13.826253  1.4547092 10.975076
## 3    Girdled Simpson diversity  7.840000  8.174825  0.9840027  6.246215
## 4     Logged  Species richness 37.000000 61.402778 16.0396110 37.000000
## 5     Logged Shannon diversity 14.421002 16.337069  1.6012306 13.198715
## 6     Logged Simpson diversity  6.761499  6.920350  1.0053581  4.949884
##         UCL
## 1 89.480595
## 2 16.677431
## 3 10.103435
## 4 92.839838
## 5 19.475423
## 6  8.890816

Rarefaction/extrapolation

Get new values

We can specify the sample size for which we want to rarefy/extrapolate For Species richness, the extrapolation is reliable up to double the reference sample. For q = 1 or 2, the extrapolation can be extended to the asymptote.

We run the code simultaneously for the three Hill numbers:

# We define the number of samples size that we want to use for estimation
m <- c(1, 50, 100, 200, 400)
example2 <- iNEXT(spider, q = c(0,1,2), datatype = "abundance", size = m)
example2$iNextEst 
## $size_based
##    Assemblage   m        Method Order.q        qD    qD.LCL    qD.UCL        SC
## 1     Girdled   1   Rarefaction       0  1.000000  1.000000  1.000000 0.1223268
## 2     Girdled  50   Rarefaction       0 15.030098 12.973906 17.086291 0.8674807
## 3     Girdled 100   Rarefaction       0 20.459426 16.880570 24.038283 0.9072004
## 4     Girdled 167   Rarefaction       0 25.928571 20.759704 31.097438 0.9285714
## 5     Girdled 168      Observed       0 26.000000 20.809738 31.190262 0.9288554
## 6     Girdled 169 Extrapolation       0 26.071145 20.859522 31.282768 0.9291383
## 7     Girdled 200 Extrapolation       0 28.141739 22.276421 34.007056 0.9373713
## 8     Girdled 400 Extrapolation       0 36.792837 26.367957 47.217717 0.9717693
## 9     Girdled   1   Rarefaction       1  1.000000  1.000000  1.000000 0.1223268
## 10    Girdled  50   Rarefaction       1  9.939329  8.217565 11.661093 0.8674807
## 11    Girdled 100   Rarefaction       1 11.266546  9.138969 13.394124 0.9072004
## 12    Girdled 167   Rarefaction       1 12.051422  9.679108 14.423736 0.9285714
## 13    Girdled 168      Observed       1 12.059650  9.684896 14.434405 0.9288554
## 14    Girdled 169 Extrapolation       1 12.067840  9.690661 14.445020 0.9291383
## 15    Girdled 200 Extrapolation       1 12.303742  9.858625 14.748858 0.9373713
## 16    Girdled 400 Extrapolation       1 13.225154 10.557005 15.893303 0.9717693
## 17    Girdled   1   Rarefaction       2  1.000000  1.000000  1.000000 0.1223268
## 18    Girdled  50   Rarefaction       2  7.148973  5.430547  8.867398 0.8674807
## 19    Girdled 100   Rarefaction       2  7.627561  5.642307  9.612815 0.9072004
## 20    Girdled 167   Rarefaction       2  7.838078  5.728268  9.947887 0.9285714
## 21    Girdled 168      Observed       2  7.840000  5.729032  9.950968 0.9288554
## 22    Girdled 169 Extrapolation       2  7.841901  5.729787  9.954014 0.9291383
## 23    Girdled 200 Extrapolation       2  7.891717  5.749448 10.033985 0.9373713
## 24    Girdled 400 Extrapolation       2  8.030777  5.802971 10.258583 0.9717693
## 25     Logged   1   Rarefaction       0  1.000000  1.000000  1.000000 0.1445014
## 26     Logged  50   Rarefaction       0 18.420022 16.739497 20.100546 0.8076088
## 27     Logged 100   Rarefaction       0 25.642342 22.825679 28.459004 0.8892800
## 28     Logged 200   Rarefaction       0 33.904551 29.188847 38.620255 0.9356422
## 29     Logged 251   Rarefaction       0 36.944444 31.274884 42.614005 0.9444444
## 30     Logged 252      Observed       0 37.000000 31.311072 42.688928 0.9445706
## 31     Logged 253 Extrapolation       0 37.055429 31.347102 42.763757 0.9446965
## 32     Logged 400 Extrapolation       0 43.973665 35.012471 52.934859 0.9604109
## 33     Logged   1   Rarefaction       1  1.000000  1.000000  1.000000 0.1445014
## 34     Logged  50   Rarefaction       1 10.747324  8.878689 12.615960 0.8076088
## 35     Logged 100   Rarefaction       1 12.648884 10.338987 14.958781 0.8892800
## 36     Logged 200   Rarefaction       1 14.053826 11.420274 16.687379 0.9356422
## 37     Logged 251   Rarefaction       1 14.415055 11.699419 17.130691 0.9444444
## 38     Logged 252      Observed       1 14.421002 11.704020 17.137983 0.9445706
## 39     Logged 253 Extrapolation       1 14.426930 11.708608 17.145252 0.9446965
## 40     Logged 400 Extrapolation       1 15.125810 12.252355 17.999266 0.9604109
## 41     Logged   1   Rarefaction       2  1.000000  1.000000  1.000000 0.1445014
## 42     Logged  50   Rarefaction       2  6.187685  4.592904  7.782465 0.8076088
## 43     Logged 100   Rarefaction       2  6.533542  4.738805  8.328279 0.8892800
## 44     Logged 200   Rarefaction       2  6.721385  4.812791  8.629980 0.9356422
## 45     Logged 251   Rarefaction       2  6.760881  4.827870  8.693892 0.9444444
## 46     Logged 252      Observed       2  6.761499  4.828104  8.694894 0.9445706
## 47     Logged 253 Extrapolation       2  6.762113  4.828337  8.695888 0.9446965
## 48     Logged 400 Extrapolation       2  6.819417  4.849911  8.788923 0.9604109
##        SC.LCL    SC.UCL
## 1  0.08702279 0.1576308
## 2  0.82866789 0.9062934
## 3  0.87618102 0.9382197
## 4  0.89819564 0.9589472
## 5  0.89843944 0.9592714
## 6  0.89868172 0.9595949
## 7  0.90566182 0.9690808
## 8  0.94033832 1.0000000
## 9  0.08702279 0.1576308
## 10 0.82866789 0.9062934
## 11 0.87618102 0.9382197
## 12 0.89819564 0.9589472
## 13 0.89843944 0.9592714
## 14 0.89868172 0.9595949
## 15 0.90566182 0.9690808
## 16 0.94033832 1.0000000
## 17 0.08702279 0.1576308
## 18 0.82866789 0.9062934
## 19 0.87618102 0.9382197
## 20 0.89819564 0.9589472
## 21 0.89843944 0.9592714
## 22 0.89868172 0.9595949
## 23 0.90566182 0.9690808
## 24 0.94033832 1.0000000
## 25 0.09857744 0.1904253
## 26 0.77634173 0.8388759
## 27 0.86275104 0.9158089
## 28 0.91177760 0.9595068
## 29 0.91875878 0.9701301
## 30 0.91883391 0.9703074
## 31 0.91890874 0.9704843
## 32 0.92975659 0.9910652
## 33 0.09857744 0.1904253
## 34 0.77634173 0.8388759
## 35 0.86275104 0.9158089
## 36 0.91177760 0.9595068
## 37 0.91875878 0.9701301
## 38 0.91883391 0.9703074
## 39 0.91890874 0.9704843
## 40 0.92975659 0.9910652
## 41 0.09857744 0.1904253
## 42 0.77634173 0.8388759
## 43 0.86275104 0.9158089
## 44 0.91177760 0.9595068
## 45 0.91875878 0.9701301
## 46 0.91883391 0.9703074
## 47 0.91890874 0.9704843
## 48 0.92975659 0.9910652
## 
## $coverage_based
##    Assemblage        SC   m        Method Order.q        qD     qD.LCL
## 1     Girdled 0.1223268   1   Rarefaction       0  1.000000  0.8151582
## 2     Girdled 0.8674806  50   Rarefaction       0 15.030097 10.7644124
## 3     Girdled 0.9072004 100   Rarefaction       0 20.459428 12.9045659
## 4     Girdled 0.9285714 166   Rarefaction       0 25.867399 15.1386277
## 5     Girdled 0.9288554 168      Observed       0 26.000000 15.2211052
## 6     Girdled 0.9291383 169 Extrapolation       0 26.071145 15.2440102
## 7     Girdled 0.9373713 200 Extrapolation       0 28.141739 15.7456999
## 8     Girdled 0.9717693 400 Extrapolation       0 36.792837 14.6042310
## 9     Girdled 0.1223268   1   Rarefaction       1  1.000000  0.8214582
## 10    Girdled 0.8674806  50   Rarefaction       1  9.939329  7.7281714
## 11    Girdled 0.9072004 100   Rarefaction       1 11.266547  8.6715926
## 12    Girdled 0.9285714 166   Rarefaction       1 12.044343  9.3496318
## 13    Girdled 0.9288554 168      Observed       1 12.059650  9.3643946
## 14    Girdled 0.9291383 169 Extrapolation       1 12.067840  9.3721426
## 15    Girdled 0.9373713 200 Extrapolation       1 12.303742  9.6125335
## 16    Girdled 0.9717693 400 Extrapolation       1 13.225154 10.6110768
## 17    Girdled 0.1223268   1   Rarefaction       2  1.000000  0.8304381
## 18    Girdled 0.8674806  50   Rarefaction       2  7.148972  5.3417791
## 19    Girdled 0.9072004 100   Rarefaction       2  7.627561  5.6277209
## 20    Girdled 0.9285714 166   Rarefaction       2  7.836419  5.7608286
## 21    Girdled 0.9288554 168      Observed       2  7.840000  5.7634636
## 22    Girdled 0.9291383 169 Extrapolation       2  7.841901  5.7645641
## 23    Girdled 0.9373713 200 Extrapolation       2  7.891717  5.7973865
## 24    Girdled 0.9717693 400 Extrapolation       2  8.030777  5.8768239
## 25     Logged 0.1445014   1   Rarefaction       0  1.000000  0.8200385
## 26     Logged 0.8076089  50   Rarefaction       0 18.420025 15.1612872
## 27     Logged 0.8892800 100   Rarefaction       0 25.642343 19.9991898
## 28     Logged 0.9356422 200   Rarefaction       0 33.904552 18.2116158
## 29     Logged 0.9444444 250   Rarefaction       0 36.892629 16.2134467
## 30     Logged 0.9445706 252      Observed       0 37.000000 16.2472856
## 31     Logged 0.9446965 253 Extrapolation       0 37.055429 16.2301901
## 32     Logged 0.9604109 400 Extrapolation       0 43.973665 13.7534789
## 33     Logged 0.1445014   1   Rarefaction       1  1.000000  0.8279007
## 34     Logged 0.8076089  50   Rarefaction       1 10.747325  8.6647594
## 35     Logged 0.8892800 100   Rarefaction       1 12.648884 10.1832510
## 36     Logged 0.9356422 200   Rarefaction       1 14.053826 11.2880326
## 37     Logged 0.9444444 250   Rarefaction       1 14.409488 11.5586873
## 38     Logged 0.9445706 252      Observed       1 14.421002 11.5691116
## 39     Logged 0.9446965 253 Extrapolation       1 14.426930 11.5733769
## 40     Logged 0.9604109 400 Extrapolation       1 15.125810 12.1158251
## 41     Logged 0.1445014   1   Rarefaction       2  1.000000  0.8387809
## 42     Logged 0.8076089  50   Rarefaction       2  6.187685  4.5984349
## 43     Logged 0.8892800 100   Rarefaction       2  6.533542  4.7580501
## 44     Logged 0.9356422 200   Rarefaction       2  6.721385  4.8364444
## 45     Logged 0.9444444 250   Rarefaction       2  6.760301  4.8513886
## 46     Logged 0.9445706 252      Observed       2  6.761499  4.8522298
## 47     Logged 0.9446965 253 Extrapolation       2  6.762113  4.8524594
## 48     Logged 0.9604109 400 Extrapolation       2  6.819417  4.8692965
##       qD.UCL
## 1   1.184842
## 2  19.295782
## 3  28.014290
## 4  36.596171
## 5  36.778895
## 6  36.898279
## 7  40.537777
## 8  58.981444
## 9   1.178542
## 10 12.150486
## 11 13.861501
## 12 14.739055
## 13 14.754906
## 14 14.763538
## 15 14.994950
## 16 15.839231
## 17  1.169562
## 18  8.956166
## 19  9.627401
## 20  9.912009
## 21  9.916536
## 22  9.919237
## 23  9.986047
## 24 10.184729
## 25  1.179961
## 26 21.678762
## 27 31.285496
## 28 49.597488
## 29 57.571811
## 30 57.752714
## 31 57.880669
## 32 74.193851
## 33  1.172099
## 34 12.829891
## 35 15.114517
## 36 16.819620
## 37 17.260288
## 38 17.272891
## 39 17.280483
## 40 18.135795
## 41  1.161219
## 42  7.776935
## 43  8.309033
## 44  8.606326
## 45  8.669213
## 46  8.670768
## 47  8.671766
## 48  8.769537

Plotting

Plot for an iNEXT object created previously Rarefaction/extrapolation curves for q = 0

ggiNEXT(example1, type=1) # Curve for sample size

Rarefaction/extrapolation curves for sample size for all 3 numbers divided by site

ggiNEXT(example2, type=1, facet.var="site")
Error in ggiNEXT.iNEXT(example2, type = 1, facet.var = "site"): invalid facet variable

Rarefaction/extrapolation curves for sample size separated by “order” (q)

ggiNEXT(example2, type=1, facet.var="both")
Error in ggiNEXT.iNEXT(example2, type = 1, facet.var = "both"): invalid facet variable
# adding grey=TRUE, we get a plot in black and white theme

We can also work with sample coverage

ggiNEXT(example1, type=3) # Curve for sample size

Define at which sample size you want to compare your samples.

Results: for the three hill numbers, order 0, 1,2. For all of them is interpolated or extrapolated as requested and we get the values in qD with lower and upper confidence intervals. These values are now fully comparable

Use max value of the biggest sample size

inext_spiders <- iNEXT(spider, q = 0, datatype = "abundance")
info_spiders <- inext_spiders$DataInfo
max(info_spiders$n)
[1] 252
estINEXTsize <- estimateD(spider, datatype = "abundance", base = "size", level = 252,
          conf = 0.95)
estINEXTsize
  Assemblage   m        Method Order.q        SC        qD    qD.LCL    qD.UCL
1    Girdled 252 Extrapolation       0 0.9490904 31.089085 23.957316 38.220855
2    Girdled 252 Extrapolation       1 0.9490904 12.630557 10.634547 14.626567
3    Girdled 252 Extrapolation       2 0.9490904  7.948519  6.557941  9.339096
4     Logged 252      Observed       0 0.9445706 37.000000 31.731928 42.268072
5     Logged 252      Observed       1 0.9445706 14.421002 11.737360 17.104643
6     Logged 252      Observed       2 0.9445706  6.761499  5.021319  8.501679

Use max sample coverage

max(info_spiders$SC)
[1] 0.9446
estINEXTcov <- estimateD(spider, datatype = "abundance", base = "coverage", level = .945,
          conf = 0.95)
estINEXTcov
  Assemblage        m        Method Order.q    SC        qD    qD.LCL    qD.UCL
1    Girdled 232.6025 Extrapolation       0 0.945 30.060357 14.615243 45.505471
2    Girdled 232.6025 Extrapolation       1 0.945 12.517775  9.998939 15.036611
3    Girdled 232.6025 Extrapolation       2 0.945  7.930211  6.536572  9.323850
4     Logged 255.4196 Extrapolation       0 0.945 37.189028  9.914372 64.463684
5     Logged 255.4196 Extrapolation       1 0.945 14.441198 11.391365 17.491031
6     Logged 255.4196 Extrapolation       2 0.945  6.763578  5.192778  8.334377

Now we can compare Species richness standardized for the same level of sample size for each habitat (sample)

estINEXTcover2 <- estimateD(spider, datatype = "abundance", base = "size", level = 252,
          conf = 0.95) 

habitat <- factor(c("Girdled", "Logged"))

# plot simple
mysub <- subset(estINEXTcover2, estINEXTcover2$order == 0 )
plot(mysub$qD ~ habitat, border = c("green4", "red"), 
        xlab = "Habitats", ylab = "Est. Species richness")
Error in (function (formula, data = NULL, subset = NULL, na.action = na.fail, : Variablenlängen sind unterschiedlich (gefunden für 'habitat')
# plot with confidence interval in ggplot
ggplot(mysub, aes(x = habitat, y = qD)) +
  geom_point(colour = c("green4", "red"), size = 5) +
  geom_errorbar(aes(ymin = qD.LCL, ymax = qD.UCL), 
                colour = c("green4", "red"),
                width = 0.2) +
  xlab("Habitats") +
  ylab("Est. Species richness") +
  theme_bw()
Error in `geom_point()`:
! Problem while computing aesthetics.
ℹ Error occurred in the 1st layer.
Caused by error in `check_aesthetics()`:
! Aesthetics must be either length 1 or the same as the data (0)
✖ Fix the following mappings: `x`

SPATIAL ANALYSIS OF DIVERSITY

BIRD DATA

How does urbanization affect species richness?

Load data

# Bird data
bird_data <- read.csv(here("data","data_berlin","animal_data",
                           "Birds_Berlin_exercise_planillo2021.csv") )
head(bird_data)
  Accipiter_gentilis Acrocephalus_arundinaceus Acrocephalus_palustris
1                  0                         0                      0
2                  0                         0                      0
3                  0                         0                      0
4                  0                         3                      0
5                  0                         0                      0
6                  0                         2                      5
  Acrocephalus_scirpaceus Aegithalos_caudatus Alauda_arvensis Anthus_trivialis
1                       0                   0               0                0
2                       0                   1               0                0
3                       0                   0               0                0
4                       4                   2               0                0
5                       0                   2               2               11
6                       5                   0               9                1
  Apus_apus Buteo_buteo Carduelis_cannabina Carduelis_carduelis
1        15           0                   0                   1
2        21           0                   0                   1
3         4           0                   0                   0
4         0           1                   0                   2
5         0           1                   1                   1
6         0           0                   1                   1
  Carduelis_chloris Certhia_brachydactyla Certhia_familiaris
1                 2                     0                  0
2                11                    11                  0
3                 7                     4                  0
4                 2                     3                  0
5                 6                     2                  0
6                 2                     4                  0
  Coccothraustes_coccothraustes Columba_livia Columba_oenas Columba_palumbus
1                             0             1             0               18
2                             0             0             0               23
3                             0             5             0               17
4                             1             0             5               10
5                             1             0             0                5
6                             1             0             0                2
  Corvus_corax Corvus_corone Cuculus_canorus Parus_caeruleus Delichon_urbicum
1            0            10               0               9                0
2            0            11               0              25                0
3            0             2               0              18                0
4            0            10               2              19                0
5            1             6               1              18                0
6            0             1               1               7                0
  Dendrocopos_major Dendrocopos_medius Dryocopus_martius Emberiza_citrinella
1                 0                  0                 0                   0
2                 8                  0                 0                   0
3                 1                  0                 0                   0
4                10                  7                 1                   0
5                 4                  0                 0                  20
6                 4                  0                 0                   8
  Emberiza_schoeniclus Erithacus_rubecula Falco_tinnunculus Ficedula_hypoleuca
1                    0                  0                 0                  0
2                    0                  9                 0                  0
3                    0                  5                 0                  0
4                    1                 14                 0                  0
5                    0                 10                 0                  1
6                   14                  5                 0                  0
  Fringilla_coelebs Garrulus_glandarius Hippolais_icterina Hirundo_rustica
1                 0                   1                  0               0
2                 4                   1                  0               0
3                 2                   0                  0               0
4                30                   3                  0              10
5                18                   3                  2               0
6                 9                   1                  1               0
  Lanius_collurio Locustella_naevia Parus_cristatus Luscinia_megarhynchos
1               0                 0               0                     0
2               0                 0               0                     7
3               0                 0               0                     0
4               0                 0               0                     9
5               7                 2               0                    20
6               4                 1               0                     3
  Miliaria_calandra Motacilla_alba Motacilla_flava Muscicapa_striata
1                 0              0               0                 0
2                 0              2               0                 0
3                 0              0               0                 0
4                 0              1               0                 1
5                 0              2               0                 1
6                 0              1               3                 2
  Oriolus_oriolus Parus_major Passer_domesticus Passer_montanus Parus_ater
1               0          10               162               0          0
2               0          39               121               5          0
3               0          18                56               4          0
4               2          19                 2               0          1
5               2          35                18               4          0
6               3          10                 0               2          0
  Phoenicurus_ochruros Phoenicurus_phoenicurus Phylloscopus_collybita
1                    0                       0                      0
2                    5                       7                      4
3                    4                       2                      0
4                    0                       0                     13
5                    1                       6                     13
6                    2                       2                      5
  Phylloscopus_sibilatrix Phylloscopus_trochilus Pica_pica Picus_viridis
1                       0                      0         4             0
2                       0                      1         4             1
3                       0                      0         0             0
4                       1                      1         0             1
5                       0                     15         1             1
6                       0                      1         0             0
  Parus_palustris Prunella_modularis Regulus_ignicapilla Saxicola_torquatus
1               0                  0                   0                  0
2               0                  1                   2                  0
3               0                  0                   0                  0
4               2                  0                   1                  0
5               0                  1                   0                  0
6               0                  0                   0                  1
  Serinus_serinus Sitta_europaea Streptopelia_decaocto Sturnus_vulgaris
1               0              0                     0                2
2               5              3                     0               13
3               0              4                     0               11
4               0             21                     0               36
5               0              1                     0                6
6               0              1                     0                6
  Sylvia_atricapilla Sylvia_borin Sylvia_communis Sylvia_curruca
1                  2            0               0              1
2                 26            0               0              4
3                 10            0               0              0
4                 28            1               1              0
5                 24            5               4              1
6                  7            0               0              0
  Troglodytes_troglodytes Turdus_merula Turdus_philomelos site
1                       0            27                 0 BE10
2                      10            37                 0 BE11
3                       4            30                 1 BE12
4                      14            27                11 BE13
5                       5            54                11 BE14
6                       3            13                 3 BE15
str(bird_data)
'data.frame':   29 obs. of  71 variables:
 $ Accipiter_gentilis           : int  0 0 0 0 0 0 0 0 1 0 ...
 $ Acrocephalus_arundinaceus    : int  0 0 0 3 0 2 0 0 0 0 ...
 $ Acrocephalus_palustris       : int  0 0 0 0 0 5 0 3 4 0 ...
 $ Acrocephalus_scirpaceus      : int  0 0 0 4 0 5 0 0 0 2 ...
 $ Aegithalos_caudatus          : int  0 1 0 2 2 0 0 0 2 0 ...
 $ Alauda_arvensis              : int  0 0 0 0 2 9 0 21 1 0 ...
 $ Anthus_trivialis             : int  0 0 0 0 11 1 0 0 0 0 ...
 $ Apus_apus                    : int  15 21 4 0 0 0 0 0 3 12 ...
 $ Buteo_buteo                  : int  0 0 0 1 1 0 0 0 0 0 ...
 $ Carduelis_cannabina          : int  0 0 0 0 1 1 0 3 1 0 ...
 $ Carduelis_carduelis          : int  1 1 0 2 1 1 1 3 1 4 ...
 $ Carduelis_chloris            : int  2 11 7 2 6 2 11 6 8 13 ...
 $ Certhia_brachydactyla        : int  0 11 4 3 2 4 2 0 1 3 ...
 $ Certhia_familiaris           : int  0 0 0 0 0 0 0 0 0 0 ...
 $ Coccothraustes_coccothraustes: int  0 0 0 1 1 1 0 0 0 1 ...
 $ Columba_livia                : int  1 0 5 0 0 0 0 0 1 0 ...
 $ Columba_oenas                : int  0 0 0 5 0 0 0 0 0 0 ...
 $ Columba_palumbus             : int  18 23 17 10 5 2 16 7 13 15 ...
 $ Corvus_corax                 : int  0 0 0 0 1 0 0 0 1 0 ...
 $ Corvus_corone                : int  10 11 2 10 6 1 4 4 8 10 ...
 $ Cuculus_canorus              : int  0 0 0 2 1 1 0 3 1 0 ...
 $ Parus_caeruleus              : int  9 25 18 19 18 7 20 4 18 15 ...
 $ Delichon_urbicum             : int  0 0 0 0 0 0 0 0 2 0 ...
 $ Dendrocopos_major            : int  0 8 1 10 4 4 0 0 3 3 ...
 $ Dendrocopos_medius           : int  0 0 0 7 0 0 0 0 0 0 ...
 $ Dryocopus_martius            : int  0 0 0 1 0 0 0 0 0 0 ...
 $ Emberiza_citrinella          : int  0 0 0 0 20 8 0 14 4 0 ...
 $ Emberiza_schoeniclus         : int  0 0 0 1 0 14 0 0 1 0 ...
 $ Erithacus_rubecula           : int  0 9 5 14 10 5 0 0 4 4 ...
 $ Falco_tinnunculus            : int  0 0 0 0 0 0 0 0 1 0 ...
 $ Ficedula_hypoleuca           : int  0 0 0 0 1 0 0 0 0 4 ...
 $ Fringilla_coelebs            : int  0 4 2 30 18 9 2 2 0 0 ...
 $ Garrulus_glandarius          : int  1 1 0 3 3 1 2 2 0 3 ...
 $ Hippolais_icterina           : int  0 0 0 0 2 1 0 5 1 2 ...
 $ Hirundo_rustica              : int  0 0 0 10 0 0 0 0 1 0 ...
 $ Lanius_collurio              : int  0 0 0 0 7 4 0 2 2 0 ...
 $ Locustella_naevia            : int  0 0 0 0 2 1 0 2 2 0 ...
 $ Parus_cristatus              : int  0 0 0 0 0 0 0 0 1 0 ...
 $ Luscinia_megarhynchos        : int  0 7 0 9 20 3 10 6 18 5 ...
 $ Miliaria_calandra            : int  0 0 0 0 0 0 0 8 0 0 ...
 $ Motacilla_alba               : int  0 2 0 1 2 1 0 0 2 0 ...
 $ Motacilla_flava              : int  0 0 0 0 0 3 0 0 0 0 ...
 $ Muscicapa_striata            : int  0 0 0 1 1 2 0 0 1 3 ...
 $ Oriolus_oriolus              : int  0 0 0 2 2 3 0 0 0 0 ...
 $ Parus_major                  : int  10 39 18 19 35 10 46 17 28 18 ...
 $ Passer_domesticus            : int  162 121 56 2 18 0 104 0 88 90 ...
 $ Passer_montanus              : int  0 5 4 0 4 2 6 4 8 8 ...
 $ Parus_ater                   : int  0 0 0 1 0 0 0 0 0 0 ...
 $ Phoenicurus_ochruros         : int  0 5 4 0 1 2 7 0 4 6 ...
 $ Phoenicurus_phoenicurus      : int  0 7 2 0 6 2 11 0 12 9 ...
 $ Phylloscopus_collybita       : int  0 4 0 13 13 5 7 4 9 3 ...
 $ Phylloscopus_sibilatrix      : int  0 0 0 1 0 0 0 0 0 0 ...
 $ Phylloscopus_trochilus       : int  0 1 0 1 15 1 0 14 4 3 ...
 $ Pica_pica                    : int  4 4 0 0 1 0 4 2 5 7 ...
 $ Picus_viridis                : int  0 1 0 1 1 0 0 1 0 1 ...
 $ Parus_palustris              : int  0 0 0 2 0 0 0 0 0 0 ...
 $ Prunella_modularis           : int  0 1 0 0 1 0 1 0 3 1 ...
 $ Regulus_ignicapilla          : int  0 2 0 1 0 0 4 0 1 0 ...
 $ Saxicola_torquatus           : int  0 0 0 0 0 1 0 2 0 0 ...
 $ Serinus_serinus              : int  0 5 0 0 0 0 4 0 7 4 ...
 $ Sitta_europaea               : int  0 3 4 21 1 1 0 0 0 3 ...
 $ Streptopelia_decaocto        : int  0 0 0 0 0 0 0 0 0 6 ...
 $ Sturnus_vulgaris             : int  2 13 11 36 6 6 19 10 17 34 ...
 $ Sylvia_atricapilla           : int  2 26 10 28 24 7 14 12 15 7 ...
 $ Sylvia_borin                 : int  0 0 0 1 5 0 0 3 3 3 ...
 $ Sylvia_communis              : int  0 0 0 1 4 0 0 23 0 1 ...
 $ Sylvia_curruca               : int  1 4 0 0 1 0 7 3 4 4 ...
 $ Troglodytes_troglodytes      : int  0 10 4 14 5 3 6 0 5 2 ...
 $ Turdus_merula                : int  27 37 30 27 54 13 39 14 49 32 ...
 $ Turdus_philomelos            : int  0 0 1 11 11 3 1 5 1 4 ...
 $ site                         : chr  "BE10" "BE11" "BE12" "BE13" ...
summary(bird_data)
 Accipiter_gentilis Acrocephalus_arundinaceus Acrocephalus_palustris
 Min.   :0.0000     Min.   :0.0000            Min.   :0.0000        
 1st Qu.:0.0000     1st Qu.:0.0000            1st Qu.:0.0000        
 Median :0.0000     Median :0.0000            Median :0.0000        
 Mean   :0.1379     Mean   :0.2414            Mean   :0.4138        
 3rd Qu.:0.0000     3rd Qu.:0.0000            3rd Qu.:0.0000        
 Max.   :2.0000     Max.   :3.0000            Max.   :5.0000        
 Acrocephalus_scirpaceus Aegithalos_caudatus Alauda_arvensis  Anthus_trivialis 
 Min.   :0.0000          Min.   :0.0000      Min.   : 0.000   Min.   : 0.0000  
 1st Qu.:0.0000          1st Qu.:0.0000      1st Qu.: 0.000   1st Qu.: 0.0000  
 Median :0.0000          Median :0.0000      Median : 0.000   Median : 0.0000  
 Mean   :0.5517          Mean   :0.7241      Mean   : 1.172   Mean   : 0.4483  
 3rd Qu.:0.0000          3rd Qu.:1.0000      3rd Qu.: 0.000   3rd Qu.: 0.0000  
 Max.   :5.0000          Max.   :4.0000      Max.   :21.000   Max.   :11.0000  
   Apus_apus       Buteo_buteo     Carduelis_cannabina Carduelis_carduelis
 Min.   : 0.000   Min.   :0.0000   Min.   :0.0000      Min.   :0.000      
 1st Qu.: 0.000   1st Qu.:0.0000   1st Qu.:0.0000      1st Qu.:0.000      
 Median : 0.000   Median :0.0000   Median :0.0000      Median :1.000      
 Mean   : 5.069   Mean   :0.1034   Mean   :0.3103      Mean   :1.517      
 3rd Qu.: 5.000   3rd Qu.:0.0000   3rd Qu.:0.0000      3rd Qu.:2.000      
 Max.   :37.000   Max.   :1.0000   Max.   :3.0000      Max.   :6.000      
 Carduelis_chloris Certhia_brachydactyla Certhia_familiaris
 Min.   : 0.000    Min.   : 0.000        Min.   :0.0000    
 1st Qu.: 2.000    1st Qu.: 1.000        1st Qu.:0.0000    
 Median : 6.000    Median : 3.000        Median :0.0000    
 Mean   : 6.276    Mean   : 4.483        Mean   :0.5172    
 3rd Qu.: 9.000    3rd Qu.: 9.000        3rd Qu.:0.0000    
 Max.   :19.000    Max.   :12.000        Max.   :6.0000    
 Coccothraustes_coccothraustes Columba_livia    Columba_oenas   
 Min.   : 0.000                Min.   : 0.000   Min.   :0.0000  
 1st Qu.: 0.000                1st Qu.: 0.000   1st Qu.:0.0000  
 Median : 0.000                Median : 0.000   Median :0.0000  
 Mean   : 1.621                Mean   : 2.586   Mean   :0.4138  
 3rd Qu.: 1.000                3rd Qu.: 4.000   3rd Qu.:0.0000  
 Max.   :15.000                Max.   :15.000   Max.   :5.0000  
 Columba_palumbus  Corvus_corax    Corvus_corone    Cuculus_canorus 
 Min.   : 2.00    Min.   :0.0000   Min.   : 0.000   Min.   :0.0000  
 1st Qu.:10.00    1st Qu.:0.0000   1st Qu.: 2.000   1st Qu.:0.0000  
 Median :13.00    Median :0.0000   Median : 6.000   Median :0.0000  
 Mean   :13.07    Mean   :0.1379   Mean   : 6.586   Mean   :0.3448  
 3rd Qu.:17.00    3rd Qu.:0.0000   3rd Qu.:10.000   3rd Qu.:0.0000  
 Max.   :32.00    Max.   :1.0000   Max.   :22.000   Max.   :3.0000  
 Parus_caeruleus Delichon_urbicum Dendrocopos_major Dendrocopos_medius
 Min.   : 4      Min.   :0.0000   Min.   : 0.000    Min.   :0.0000    
 1st Qu.:11      1st Qu.:0.0000   1st Qu.: 1.000    1st Qu.:0.0000    
 Median :18      Median :0.0000   Median : 2.000    Median :0.0000    
 Mean   :19      Mean   :0.2069   Mean   : 5.517    Mean   :0.3103    
 3rd Qu.:23      3rd Qu.:0.0000   3rd Qu.: 8.000    3rd Qu.:0.0000    
 Max.   :44      Max.   :2.0000   Max.   :36.000    Max.   :7.0000    
 Dryocopus_martius Emberiza_citrinella Emberiza_schoeniclus Erithacus_rubecula
 Min.   :0.0000    Min.   : 0.000      Min.   : 0.0000      Min.   : 0.000    
 1st Qu.:0.0000    1st Qu.: 0.000      1st Qu.: 0.0000      1st Qu.: 2.000    
 Median :0.0000    Median : 0.000      Median : 0.0000      Median : 4.000    
 Mean   :0.2069    Mean   : 1.862      Mean   : 0.5517      Mean   : 6.931    
 3rd Qu.:0.0000    3rd Qu.: 0.000      3rd Qu.: 0.0000      3rd Qu.:10.000    
 Max.   :2.0000    Max.   :20.000      Max.   :14.0000      Max.   :35.000    
 Falco_tinnunculus Ficedula_hypoleuca Fringilla_coelebs Garrulus_glandarius
 Min.   :0.0000    Min.   :0.000      Min.   : 0.00     Min.   :0.000      
 1st Qu.:0.0000    1st Qu.:0.000      1st Qu.: 0.00     1st Qu.:1.000      
 Median :0.0000    Median :0.000      Median : 3.00     Median :1.000      
 Mean   :0.1724    Mean   :1.345      Mean   :11.86     Mean   :1.793      
 3rd Qu.:0.0000    3rd Qu.:1.000      3rd Qu.:18.00     3rd Qu.:3.000      
 Max.   :1.0000    Max.   :9.000      Max.   :71.00     Max.   :5.000      
 Hippolais_icterina Hirundo_rustica   Lanius_collurio  Locustella_naevia
 Min.   :0.0000     Min.   : 0.0000   Min.   :0.0000   Min.   :0.0000   
 1st Qu.:0.0000     1st Qu.: 0.0000   1st Qu.:0.0000   1st Qu.:0.0000   
 Median :0.0000     Median : 0.0000   Median :0.0000   Median :0.0000   
 Mean   :0.3793     Mean   : 0.6552   Mean   :0.5172   Mean   :0.2414   
 3rd Qu.:0.0000     3rd Qu.: 0.0000   3rd Qu.:0.0000   3rd Qu.:0.0000   
 Max.   :5.0000     Max.   :10.0000   Max.   :7.0000   Max.   :2.0000   
 Parus_cristatus  Luscinia_megarhynchos Miliaria_calandra Motacilla_alba  
 Min.   :0.0000   Min.   : 0.000        Min.   :0.0000    Min.   :0.0000  
 1st Qu.:0.0000   1st Qu.: 0.000        1st Qu.:0.0000    1st Qu.:0.0000  
 Median :0.0000   Median : 2.000        Median :0.0000    Median :0.0000  
 Mean   :0.8621   Mean   : 4.069        Mean   :0.2759    Mean   :0.4138  
 3rd Qu.:0.0000   3rd Qu.: 7.000        3rd Qu.:0.0000    3rd Qu.:1.0000  
 Max.   :7.0000   Max.   :20.000        Max.   :8.0000    Max.   :2.0000  
 Motacilla_flava  Muscicapa_striata Oriolus_oriolus   Parus_major   
 Min.   :0.0000   Min.   :0.0000    Min.   :0.0000   Min.   : 6.00  
 1st Qu.:0.0000   1st Qu.:0.0000    1st Qu.:0.0000   1st Qu.:17.00  
 Median :0.0000   Median :0.0000    Median :0.0000   Median :22.00  
 Mean   :0.1034   Mean   :0.6207    Mean   :0.2759   Mean   :23.86  
 3rd Qu.:0.0000   3rd Qu.:1.0000    3rd Qu.:0.0000   3rd Qu.:29.00  
 Max.   :3.0000   Max.   :4.0000    Max.   :3.0000   Max.   :52.00  
 Passer_domesticus Passer_montanus    Parus_ater     Phoenicurus_ochruros
 Min.   :  0.00    Min.   : 0.000   Min.   :0.0000   Min.   : 0          
 1st Qu.: 14.00    1st Qu.: 0.000   1st Qu.:0.0000   1st Qu.: 1          
 Median : 65.00    Median : 3.000   Median :0.0000   Median : 2          
 Mean   : 68.38    Mean   : 3.828   Mean   :0.5517   Mean   : 4          
 3rd Qu.: 90.00    3rd Qu.: 6.000   3rd Qu.:0.0000   3rd Qu.: 5          
 Max.   :279.00    Max.   :15.000   Max.   :5.0000   Max.   :21          
 Phoenicurus_phoenicurus Phylloscopus_collybita Phylloscopus_sibilatrix
 Min.   : 0.000          Min.   : 0.000         Min.   : 0.000         
 1st Qu.: 2.000          1st Qu.: 0.000         1st Qu.: 0.000         
 Median : 5.000          Median : 2.000         Median : 0.000         
 Mean   : 4.966          Mean   : 3.517         Mean   : 2.069         
 3rd Qu.: 8.000          3rd Qu.: 5.000         3rd Qu.: 1.000         
 Max.   :13.000          Max.   :14.000         Max.   :24.000         
 Phylloscopus_trochilus   Pica_pica      Picus_viridis    Parus_palustris  
 Min.   : 0.000         Min.   : 0.000   Min.   :0.0000   Min.   : 0.0000  
 1st Qu.: 0.000         1st Qu.: 0.000   1st Qu.:0.0000   1st Qu.: 0.0000  
 Median : 0.000         Median : 2.000   Median :0.0000   Median : 0.0000  
 Mean   : 1.483         Mean   : 3.138   Mean   :0.4483   Mean   : 0.5517  
 3rd Qu.: 1.000         3rd Qu.: 5.000   3rd Qu.:1.0000   3rd Qu.: 0.0000  
 Max.   :15.000         Max.   :10.000   Max.   :1.0000   Max.   :10.0000  
 Prunella_modularis Regulus_ignicapilla Saxicola_torquatus Serinus_serinus 
 Min.   :0.0000     Min.   : 0.000      Min.   :0.0000     Min.   : 0.000  
 1st Qu.:0.0000     1st Qu.: 0.000      1st Qu.:0.0000     1st Qu.: 0.000  
 Median :0.0000     Median : 0.000      Median :0.0000     Median : 1.000  
 Mean   :0.5517     Mean   : 1.552      Mean   :0.1034     Mean   : 2.103  
 3rd Qu.:1.0000     3rd Qu.: 2.000      3rd Qu.:0.0000     3rd Qu.: 4.000  
 Max.   :5.0000     Max.   :12.000      Max.   :2.0000     Max.   :15.000  
 Sitta_europaea   Streptopelia_decaocto Sturnus_vulgaris Sylvia_atricapilla
 Min.   : 0.000   Min.   :0.0000        Min.   : 2.00    Min.   : 0.00     
 1st Qu.: 0.000   1st Qu.:0.0000        1st Qu.: 5.00    1st Qu.: 7.00     
 Median : 1.000   Median :0.0000        Median : 8.00    Median :10.00     
 Mean   : 4.759   Mean   :0.2069        Mean   :10.52    Mean   :10.83     
 3rd Qu.: 4.000   3rd Qu.:0.0000        3rd Qu.:13.00    3rd Qu.:13.00     
 Max.   :29.000   Max.   :6.0000        Max.   :36.00    Max.   :28.00     
  Sylvia_borin    Sylvia_communis  Sylvia_curruca  Troglodytes_troglodytes
 Min.   :0.0000   Min.   : 0.000   Min.   :0.000   Min.   : 0.000         
 1st Qu.:0.0000   1st Qu.: 0.000   1st Qu.:0.000   1st Qu.: 0.000         
 Median :0.0000   Median : 0.000   Median :2.000   Median : 3.000         
 Mean   :0.6207   Mean   : 1.069   Mean   :2.207   Mean   : 6.034         
 3rd Qu.:0.0000   3rd Qu.: 0.000   3rd Qu.:3.000   3rd Qu.: 9.000         
 Max.   :5.0000   Max.   :23.000   Max.   :7.000   Max.   :36.000         
 Turdus_merula   Turdus_philomelos     site          
 Min.   :11.00   Min.   : 0.000    Length:29         
 1st Qu.:18.00   1st Qu.: 0.000    Class :character  
 Median :27.00   Median : 1.000    Mode  :character  
 Mean   :29.34   Mean   : 3.345                      
 3rd Qu.:39.00   3rd Qu.: 5.000                      
 Max.   :54.00   Max.   :14.000                      

Get the Hill Number for species richness

iNext package uses the data in a specific format: Matrix with species in rows, sites in columns.

# get the data in the proper format
bird_data <- column_to_rownames(bird_data, "site") 
bird_data <- t(bird_data)

# run inext function
birds_inext <- iNEXT(bird_data, q = 0, datatype = "abundance") # q = 0 -> species richness

#Show a summary of the data 
birds_inext$DataInfo
   Assemblage   n S.obs     SC f1 f2 f3 f4 f5 f6 f7 f8 f9 f10
1        BE10 265    15 0.9850  4  3  0  1  0  0  0  0  1   2
2        BE11 423    32 0.9858  6  2  1  4  3  0  2  1  1   1
3        BE12 209    21 0.9906  2  3  0  6  2  0  1  0  0   1
4        BE13 333    42 0.9611 13  7  3  1  1  0  1  0  1   4
5        BE14 356    46 0.9608 14  7  1  3  3  4  1  0  0   1
6        BE15 157    41 0.9178 13  7  5  3  4  1  2  1  2   1
7        BE16 348    25 0.9914  3  3  0  4  0  2  3  0  0   1
8        BE17 209    31 0.9955  1  6  6  4  2  2  1  1  0   1
9        BE18 370    47 0.9568 16  5  4  6  2  0  1  3  1   0
10       BE19 345    37 0.9885  4  3  8  6  1  2  2  1  1   1
11        BE2 434    32 0.9862  6  6  1  0  2  2  1  0  1   0
12       BE20 149    20 0.9531  7  1  2  3  1  2  0  0  1   0
13       BE21 374    35 0.9867  5  2  4  2  2  3  1  3  0   0
14       BE22 232    23 0.9871  3  2  5  1  3  0  1  0  0   1
15       BE23 222    21 0.9820  4  0  5  2  2  1  0  0  0   0
16       BE24 312    20 0.9937  2  3  3  1  2  1  0  1  1   0
17       BE25 237    29 0.9707  7  7  1  0  4  0  1  0  1   2
18       BE26 305    26 0.9837  5  5  1  1  3  2  0  1  0   2
19       BE27 312    39 0.9584 13  5  5  2  1  0  1  0  2   0
20       BE28 267    30 0.9776  6  3  4  3  0  2  0  1  3   0
21       BE29 243    22 0.9919  2  3  2  0  3  1  0  0  2   1
22        BE3 294    40 0.9763  7  5  3  2  4  0  5  2  4   1
23       BE30 266    28 0.9588 11  4  1  0  0  1  1  0  2   1
24        BE4 415    32 0.9880  5  1  3  1  2  1  3  2  0   1
25        BE5 199    17 0.9850  3  2  0  1  4  1  2  0  0   1
26        BE6 208    26 0.9617  8  3  4  0  2  0  0  3  1   1
27        BE7 540    28 0.9852  8  5  1  1  1  0  1  2  0   1
28        BE8 219    24 0.9864  3  3  2  2  1  4  2  0  1   1
29        BE9 310    33 0.9742  8  2  3  1  4  2  1  0  0   1
#Show a summary of the data with diversity estimates in rarefied and extrapolated samples
head(birds_inext$iNextEst)
$size_based
     Assemblage    m        Method Order.q        qD    qD.LCL    qD.UCL
1          BE10    1   Rarefaction       0  1.000000  1.000000  1.000000
2          BE10   15   Rarefaction       0  5.138521  4.631644  5.645398
3          BE10   30   Rarefaction       0  7.261204  6.520533  8.001876
4          BE10   44   Rarefaction       0  8.493792  7.579185  9.408399
5          BE10   59   Rarefaction       0  9.433917  8.344880 10.522953
6          BE10   74   Rarefaction       0 10.164352  8.908731 11.419973
7          BE10   88   Rarefaction       0 10.736162  9.333605 12.138719
8          BE10  103   Rarefaction       0 11.274111  9.724321 12.823901
9          BE10  117   Rarefaction       0 11.727559 10.049640 13.405479
10         BE10  132   Rarefaction       0 12.174118 10.367858 13.980379
11         BE10  147   Rarefaction       0 12.587566 10.660924 14.514209
12         BE10  161   Rarefaction       0 12.947639 10.914721 14.980556
13         BE10  176   Rarefaction       0 13.308532 11.167264 15.449800
14         BE10  190   Rarefaction       0 13.623868 11.385878 15.861858
15         BE10  205   Rarefaction       0 13.940110 11.602538 16.277681
16         BE10  220   Rarefaction       0 14.235107 11.801546 16.668669
17         BE10  234   Rarefaction       0 14.492039 11.971627 17.012451
18         BE10  249   Rarefaction       0 14.748190 12.137125 17.359255
19         BE10  264   Rarefaction       0 14.984906 12.285087 17.684724
20         BE10  265      Observed       0 15.000000 12.294317 17.705683
21         BE10  266 Extrapolation       0 15.015009 12.303463 17.726555
22         BE10  279 Extrapolation       0 15.202582 12.414882 17.990282
23         BE10  293 Extrapolation       0 15.389716 12.519796 18.259636
24         BE10  307 Extrapolation       0 15.562580 12.609889 18.515271
25         BE10  321 Extrapolation       0 15.722262 12.686093 18.758431
26         BE10  335 Extrapolation       0 15.869767 12.749381 18.990153
27         BE10  349 Extrapolation       0 16.006024 12.800726 19.211322
28         BE10  363 Extrapolation       0 16.131891 12.841075 19.422707
29         BE10  377 Extrapolation       0 16.248159 12.871331 19.624988
30         BE10  391 Extrapolation       0 16.355562 12.892349 19.818774
31         BE10  404 Extrapolation       0 16.447945 12.904295 19.991596
32         BE10  418 Extrapolation       0 16.540113 12.909711 20.170515
33         BE10  432 Extrapolation       0 16.625252 12.908081 20.342423
34         BE10  446 Extrapolation       0 16.703899 12.900050 20.507748
35         BE10  460 Extrapolation       0 16.776548 12.886214 20.666883
36         BE10  474 Extrapolation       0 16.843658 12.867123 20.820193
37         BE10  488 Extrapolation       0 16.905650 12.843283 20.968016
38         BE10  502 Extrapolation       0 16.962915 12.815162 21.110667
39         BE10  516 Extrapolation       0 17.015813 12.783190 21.248436
40         BE10  530 Extrapolation       0 17.064677 12.747760 21.381594
41         BE11    1   Rarefaction       0  1.000000  1.000000  1.000000
42         BE11   24   Rarefaction       0 12.039825 11.482893 12.596756
43         BE11   47   Rarefaction       0 17.059840 16.108938 18.010743
44         BE11   71   Rarefaction       0 20.301219 19.077434 21.525003
45         BE11   94   Rarefaction       0 22.469926 21.059231 23.880621
46         BE11  117   Rarefaction       0 24.094760 22.537099 25.652421
47         BE11  141   Rarefaction       0 25.411433 23.725006 27.097860
48         BE11  164   Rarefaction       0 26.423742 24.627660 28.219825
49         BE11  188   Rarefaction       0 27.295731 25.393289 29.198173
50         BE11  211   Rarefaction       0 28.002310 26.002029 30.002591
51         BE11  234   Rarefaction       0 28.614707 26.518398 30.711015
52         BE11  258   Rarefaction       0 29.177696 26.981696 31.373695
53         BE11  281   Rarefaction       0 29.661529 27.369653 31.953405
54         BE11  305   Rarefaction       0 30.121871 27.729059 32.514683
55         BE11  328   Rarefaction       0 30.530064 28.039341 33.020787
56         BE11  351   Rarefaction       0 30.913169 28.323148 33.503191
57         BE11  375   Rarefaction       0 31.291853 28.596514 33.987192
58         BE11  398   Rarefaction       0 31.638444 28.840318 34.436570
59         BE11  422   Rarefaction       0 31.985816 29.078215 34.893416
60         BE11  423      Observed       0 32.000000 29.087784 34.912216
61         BE11  424 Extrapolation       0 32.014162 29.097326 34.930998
62         BE11  446 Extrapolation       0 32.320137 29.300240 35.340034
63         BE11  468 Extrapolation       0 32.615669 29.489772 35.741566
64         BE11  490 Extrapolation       0 32.901113 29.665975 36.136252
65         BE11  512 Extrapolation       0 33.176815 29.828986 36.524644
66         BE11  535 Extrapolation       0 33.454993 29.985538 36.924447
67         BE11  557 Extrapolation       0 33.711790 30.122323 37.301257
68         BE11  579 Extrapolation       0 33.959822 30.246797 37.672847
69         BE11  601 Extrapolation       0 34.199389 30.359373 38.039404
70         BE11  623 Extrapolation       0 34.430778 30.460503 38.401054
71         BE11  646 Extrapolation       0 34.664246 30.554512 38.773980
72         BE11  668 Extrapolation       0 34.879769 30.633747 39.125791
73         BE11  690 Extrapolation       0 35.087936 30.703050 39.472823
74         BE11  712 Extrapolation       0 35.288999 30.762933 39.815065
75         BE11  734 Extrapolation       0 35.483198 30.813903 40.152493
76         BE11  757 Extrapolation       0 35.679142 30.858201 40.500082
77         BE11  779 Extrapolation       0 35.860025 30.892478 40.827571
78         BE11  801 Extrapolation       0 36.034734 30.919316 41.150153
79         BE11  823 Extrapolation       0 36.203481 30.939163 41.467798
80         BE11  846 Extrapolation       0 36.373742 30.952906 41.794579
81         BE12    1   Rarefaction       0  1.000000  1.000000  1.000000
82         BE12   12   Rarefaction       0  7.345013  6.804475  7.885552
83         BE12   24   Rarefaction       0 10.836125  9.877613 11.794637
84         BE12   35   Rarefaction       0 12.944978 11.737905 14.152050
85         BE12   47   Rarefaction       0 14.630594 13.242674 16.018514
86         BE12   58   Rarefaction       0 15.821994 14.324184 17.319804
87         BE12   70   Rarefaction       0 16.854248 15.279903 18.428592
88         BE12   81   Rarefaction       0 17.616638 16.001313 19.231963
89         BE12   93   Rarefaction       0 18.293314 16.656035 19.930594
90         BE12  104   Rarefaction       0 18.800803 17.157744 20.443862
91         BE12  116   Rarefaction       0 19.256608 17.616949 20.896267
92         BE12  127   Rarefaction       0 19.602546 17.970596 21.234495
93         BE12  139   Rarefaction       0 19.917558 18.295078 21.540037
94         BE12  150   Rarefaction       0 20.160627 18.544897 21.776357
95         BE12  162   Rarefaction       0 20.386195 18.772988 21.999402
96         BE12  173   Rarefaction       0 20.563733 18.946338 22.181128
97         BE12  185   Rarefaction       0 20.731389 19.100354 22.362424
98         BE12  196   Rarefaction       0 20.864776 19.211426 22.518127
99         BE12  208   Rarefaction       0 20.990431 19.300629 22.680232
100        BE12  209      Observed       0 21.000000 19.306552 22.693448
101        BE12  210 Extrapolation       0 21.009433 19.312244 22.706622
102        BE12  220 Extrapolation       0 21.096696 19.357033 22.836358
103        BE12  231 Extrapolation       0 21.179299 19.382919 22.975679
104        BE12  242 Extrapolation       0 21.249863 19.387562 23.112164
105        BE12  253 Extrapolation       0 21.310144 19.374218 23.246069
106        BE12  264 Extrapolation       0 21.361639 19.345893 23.377385
107        BE12  275 Extrapolation       0 21.405629 19.305258 23.506000
108        BE12  286 Extrapolation       0 21.443208 19.254632 23.631784
109        BE12  297 Extrapolation       0 21.475310 19.195989 23.754631
110        BE12  308 Extrapolation       0 21.502734 19.130988 23.874479
111        BE12  319 Extrapolation       0 21.526160 19.061017 23.991303
112        BE12  330 Extrapolation       0 21.546173 18.987228 24.105118
113        BE12  341 Extrapolation       0 21.563269 18.910574 24.215964
114        BE12  352 Extrapolation       0 21.577873 18.831844 24.323903
115        BE12  363 Extrapolation       0 21.590349 18.751687 24.429011
116        BE12  374 Extrapolation       0 21.601007 18.670642 24.531372
117        BE12  385 Extrapolation       0 21.610111 18.589149 24.631074
118        BE12  396 Extrapolation       0 21.617889 18.507572 24.728206
119        BE12  407 Extrapolation       0 21.624533 18.426210 24.822856
120        BE12  418 Extrapolation       0 21.630209 18.345305 24.915112
121        BE13    1   Rarefaction       0  1.000000  1.000000  1.000000
122        BE13   19   Rarefaction       0 12.630236 12.112949 13.147522
123        BE13   37   Rarefaction       0 18.418019 17.340224 19.495814
124        BE13   56   Rarefaction       0 22.229059 20.682877 23.775240
125        BE13   74   Rarefaction       0 24.851477 22.944360 26.758594
126        BE13   92   Rarefaction       0 26.959730 24.745868 29.173591
127        BE13  111   Rarefaction       0 28.848596 26.349585 31.347607
128        BE13  129   Rarefaction       0 30.427141 27.681877 33.172404
129        BE13  148   Rarefaction       0 31.933919 28.945261 34.922577
130        BE13  166   Rarefaction       0 33.243929 30.035258 36.452600
131        BE13  184   Rarefaction       0 34.459533 31.037875 37.881190
132        BE13  203   Rarefaction       0 35.654192 32.012855 39.295530
133        BE13  221   Rarefaction       0 36.711440 32.865027 40.557852
134        BE13  240   Rarefaction       0 37.756304 33.694978 41.817630
135        BE13  258   Rarefaction       0 38.684490 34.419645 42.949334
136        BE13  276   Rarefaction       0 39.557362 35.087817 44.026907
137        BE13  295   Rarefaction       0 40.423182 35.734983 45.111382
138        BE13  313   Rarefaction       0 41.194588 36.295617 46.093560
139        BE13  332   Rarefaction       0 41.960961 36.834454 47.087468
140        BE13  333      Observed       0 42.000000 36.861351 47.138649
141        BE13  334 Extrapolation       0 42.038913 36.888103 47.189723
142        BE13  351 Extrapolation       0 42.681509 37.321173 48.041845
143        BE13  368 Extrapolation       0 43.289684 37.714405 48.864962
144        BE13  386 Extrapolation       0 43.898162 38.089342 49.706982
145        BE13  403 Extrapolation       0 44.441165 38.406285 50.476045
146        BE13  421 Extrapolation       0 44.984440 38.704699 51.264181
147        BE13  438 Extrapolation       0 45.469255 38.953467 51.985042
148        BE13  456 Extrapolation       0 45.954312 39.184060 52.724564
149        BE13  473 Extrapolation       0 46.387175 39.372869 53.401480
150        BE13  491 Extrapolation       0 46.820254 39.544226 54.096282
151        BE13  508 Extrapolation       0 47.206731 39.680989 54.732472
152        BE13  526 Extrapolation       0 47.593401 39.801215 55.385588
153        BE13  543 Extrapolation       0 47.938464 39.893280 55.983648
154        BE13  561 Extrapolation       0 48.283699 39.969789 56.597608
155        BE13  578 Extrapolation       0 48.591784 40.023794 57.159775
156        BE13  596 Extrapolation       0 48.900024 40.063219 57.736829
157        BE13  613 Extrapolation       0 49.175096 40.085051 58.265140
158        BE13  631 Extrapolation       0 49.450305 40.093235 58.807375
159        BE13  648 Extrapolation       0 49.695900 40.088050 59.303749
160        BE13  666 Extrapolation       0 49.941617 40.070082 59.813153
161        BE14    1   Rarefaction       0  1.000000  1.000000  1.000000
162        BE14   20   Rarefaction       0 13.090894 12.541312 13.640476
163        BE14   40   Rarefaction       0 19.715451 18.606084 20.824817
164        BE14   60   Rarefaction       0 24.044829 22.451219 25.638438
165        BE14   79   Rarefaction       0 27.113808 25.104827 29.122790
166        BE14   99   Rarefaction       0 29.707403 27.299264 32.115542
167        BE14  119   Rarefaction       0 31.874377 29.102509 34.646246
168        BE14  138   Rarefaction       0 33.653495 30.566281 36.740710
169        BE14  158   Rarefaction       0 35.306797 31.916166 38.697427
170        BE14  178   Rarefaction       0 36.786473 33.117922 40.455024
171        BE14  197   Rarefaction       0 38.065288 34.152763 41.977812
172        BE14  217   Rarefaction       0 39.303941 35.152092 43.455791
173        BE14  237   Rarefaction       0 40.452149 36.075428 44.828870
174        BE14  256   Rarefaction       0 41.472750 36.892775 46.052724
175        BE14  276   Rarefaction       0 42.483624 37.697658 47.269590
176        BE14  296   Rarefaction       0 43.437131 38.450486 48.423777
177        BE14  315   Rarefaction       0 44.294857 39.119987 49.469726
178        BE14  335   Rarefaction       0 45.150687 39.777727 50.523648
179        BE14  355   Rarefaction       0 45.960674 40.387176 51.534172
180        BE14  356      Observed       0 46.000000 40.416366 51.583634
181        BE14  357 Extrapolation       0 46.039215 40.445433 51.632997
182        BE14  375 Extrapolation       0 46.726552 40.947729 52.505375
183        BE14  394 Extrapolation       0 47.415292 41.435572 53.395013
184        BE14  413 Extrapolation       0 48.068189 41.881129 54.255248
185        BE14  431 Extrapolation       0 48.655350 42.265620 55.045080
186        BE14  450 Extrapolation       0 49.243710 42.633435 55.853985
187        BE14  469 Extrapolation       0 49.801451 42.964034 56.638867
188        BE14  487 Extrapolation       0 50.303037 43.244676 57.361397
189        BE14  506 Extrapolation       0 50.805647 43.508434 58.102860
190        BE14  525 Extrapolation       0 51.282100 43.740769 58.823430
191        BE14  543 Extrapolation       0 51.710582 43.933632 59.487532
192        BE14  562 Extrapolation       0 52.139940 44.110233 60.169647
193        BE14  581 Extrapolation       0 52.546952 44.260883 60.833022
194        BE14  599 Extrapolation       0 52.912986 44.381212 61.444760
195        BE14  618 Extrapolation       0 53.279767 44.486143 62.073391
196        BE14  637 Extrapolation       0 53.627460 44.569901 62.685019
197        BE14  655 Extrapolation       0 53.940146 44.631034 63.249258
198        BE14  674 Extrapolation       0 54.253471 44.677644 63.829299
199        BE14  693 Extrapolation       0 54.550490 44.707113 64.393867
200        BE14  712 Extrapolation       0 54.832051 44.720650 64.943452
201        BE15    1   Rarefaction       0  1.000000  1.000000  1.000000
202        BE15    9   Rarefaction       0  7.814112  7.590271  8.037952
203        BE15   18   Rarefaction       0 13.581021 12.935107 14.226936
204        BE15   26   Rarefaction       0 17.562965 16.537454 18.588476
205        BE15   35   Rarefaction       0 21.159334 19.741135 22.577533
206        BE15   44   Rarefaction       0 24.092468 22.320584 25.864352
207        BE15   52   Rarefaction       0 26.293249 24.234469 28.352030
208        BE15   61   Rarefaction       0 28.424764 26.067598 30.781929
209        BE15   69   Rarefaction       0 30.080357 27.475182 32.685531
210        BE15   78   Rarefaction       0 31.730038 28.861479 34.598596
211        BE15   87   Rarefaction       0 33.197592 30.079363 36.315822
212        BE15   95   Rarefaction       0 34.376523 31.046025 37.707021
213        BE15  104   Rarefaction       0 35.585023 32.024773 39.145273
214        BE15  112   Rarefaction       0 36.570246 32.812281 40.328210
215        BE15  121   Rarefaction       0 37.593139 33.618165 41.568114
216        BE15  130   Rarefaction       0 38.537964 34.349502 42.726427
217        BE15  138   Rarefaction       0 39.320806 34.943468 43.698145
218        BE15  147   Rarefaction       0 40.145276 35.553871 44.736682
219        BE15  156   Rarefaction       0 40.917197 36.107023 45.727372
220        BE15  157      Observed       0 41.000000 36.165080 45.834920
221        BE15  158 Extrapolation       0 41.082235 36.222468 45.942002
222        BE15  166 Extrapolation       0 41.720138 36.657770 46.782506
223        BE15  174 Extrapolation       0 42.323882 37.051722 47.596041
224        BE15  182 Extrapolation       0 42.895295 37.405777 48.384813
225        BE15  190 Extrapolation       0 43.436109 37.721524 49.150694
226        BE15  199 Extrapolation       0 44.009986 38.033096 49.986876
227        BE15  207 Extrapolation       0 44.491108 38.273273 50.708944
228        BE15  215 Extrapolation       0 44.946466 38.480803 51.412130
229        BE15  223 Extrapolation       0 45.377440 38.657599 52.097281
230        BE15  231 Extrapolation       0 45.785336 38.805568 52.765103
231        BE15  240 Extrapolation       0 46.218168 38.939902 53.496433
232        BE15  248 Extrapolation       0 46.581042 39.032755 54.129329
233        BE15  256 Extrapolation       0 46.924485 39.102427 54.746542
234        BE15  264 Extrapolation       0 47.249536 39.150572 55.348499
235        BE15  272 Extrapolation       0 47.557180 39.178758 55.935602
236        BE15  281 Extrapolation       0 47.883633 39.188446 56.578820
237        BE15  289 Extrapolation       0 48.157322 39.179010 57.135634
238        BE15  297 Extrapolation       0 48.416355 39.153931 57.678778
239        BE15  305 Extrapolation       0 48.661516 39.114410 58.208622
240        BE15  314 Extrapolation       0 48.921666 39.054074 58.789258
241        BE16    1   Rarefaction       0  1.000000  1.000000  1.000000
242        BE16   20   Rarefaction       0  9.838871  9.322438 10.355303
243        BE16   39   Rarefaction       0 13.870646 13.071845 14.669447
244        BE16   58   Rarefaction       0 16.410256 15.414833 17.405678
245        BE16   77   Rarefaction       0 18.170957 17.033715 19.308199
246        BE16   97   Rarefaction       0 19.523013 18.275366 20.770659
247        BE16  116   Rarefaction       0 20.500838 19.169301 21.832375
248        BE16  135   Rarefaction       0 21.275369 19.869889 22.680848
249        BE16  154   Rarefaction       0 21.904830 20.429496 23.380163
250        BE16  174   Rarefaction       0 22.452784 20.905290 24.000278
251        BE16  193   Rarefaction       0 22.891794 21.276073 24.507515
252        BE16  212   Rarefaction       0 23.270094 21.586455 24.953733
253        BE16  231   Rarefaction       0 23.600869 21.849939 25.351799
254        BE16  250   Rarefaction       0 23.893699 22.076408 25.710990
255        BE16  270   Rarefaction       0 24.168590 22.282574 26.054606
256        BE16  289   Rarefaction       0 24.403287 22.452904 26.353669
257        BE16  308   Rarefaction       0 24.615804 22.601543 26.630066
258        BE16  327   Rarefaction       0 24.808491 22.730191 26.886792
259        BE16  347   Rarefaction       0 24.991379 22.844541 27.138218
260        BE16  348      Observed       0 25.000000 22.849683 27.150317
261        BE16  349 Extrapolation       0 25.008571 22.854771 27.162372
262        BE16  367 Extrapolation       0 25.154722 22.937107 27.372336
263        BE16  385 Extrapolation       0 25.286509 23.002593 27.570425
264        BE16  403 Extrapolation       0 25.405344 23.052398 27.758290
265        BE16  422 Extrapolation       0 25.518135 23.089413 27.946857
266        BE16  440 Extrapolation       0 25.614207 23.111152 28.117261
267        BE16  458 Extrapolation       0 25.700837 23.121262 28.280412
268        BE16  476 Extrapolation       0 25.778953 23.120985 28.436921
269        BE16  495 Extrapolation       0 25.853096 23.110702 28.595490
270        BE16  513 Extrapolation       0 25.916248 23.092607 28.739890
271        BE16  531 Extrapolation       0 25.973195 23.067368 28.879021
272        BE16  549 Extrapolation       0 26.024544 23.035861 29.013228
273        BE16  568 Extrapolation       0 26.073282 22.996675 29.149888
274        BE16  586 Extrapolation       0 26.114795 22.954680 29.274910
275        BE16  604 Extrapolation       0 26.152228 22.908593 29.395864
276        BE16  622 Extrapolation       0 26.185983 22.858984 29.512982
277        BE16  641 Extrapolation       0 26.218021 22.803360 29.632681
278        BE16  659 Extrapolation       0 26.245309 22.748052 29.742567
279        BE16  677 Extrapolation       0 26.269916 22.690616 29.849216
280        BE16  696 Extrapolation       0 26.293271 22.628078 29.958464
281        BE17    1   Rarefaction       0  1.000000  1.000000  1.000000
282        BE17   12   Rarefaction       0  9.239218  8.916541  9.561895
283        BE17   24   Rarefaction       0 14.739250 14.000659 15.477841
284        BE17   35   Rarefaction       0 18.171689 17.164699 19.178679
285        BE17   47   Rarefaction       0 20.939536 19.737421 22.141651
286        BE17   58   Rarefaction       0 22.907156 21.582152 24.232160
287        BE17   70   Rarefaction       0 24.622764 23.199164 26.046363
288        BE17   81   Rarefaction       0 25.898287 24.403556 27.393018
289        BE17   93   Rarefaction       0 27.036050 25.476707 28.595393
290        BE17  104   Rarefaction       0 27.890092 26.279757 29.500426
291        BE17  116   Rarefaction       0 28.652185 26.993067 30.311303
292        BE17  127   Rarefaction       0 29.220580 27.521942 30.919217
293        BE17  139   Rarefaction       0 29.721365 27.984476 31.458254
294        BE17  150   Rarefaction       0 30.087637 28.319547 31.855727
295        BE17  162   Rarefaction       0 30.401422 28.602855 32.199988
296        BE17  173   Rarefaction       0 30.621954 28.798077 32.445831
297        BE17  185   Rarefaction       0 30.800304 28.950838 32.649769
298        BE17  196   Rarefaction       0 30.915086 29.043092 32.787080
299        BE17  208   Rarefaction       0 30.995215 29.098338 32.892093
300        BE17  209      Observed       0 31.000000 29.100983 32.899017
301        BE17  210 Extrapolation       0 31.004524 29.103356 32.905692
302        BE17  220 Extrapolation       0 31.038186 29.114568 32.961803
303        BE17  231 Extrapolation       0 31.058789 29.107379 33.010200
304        BE17  242 Extrapolation       0 31.069907 29.086329 33.053484
305        BE17  253 Extrapolation       0 31.075905 29.055240 33.096570
306        BE17  264 Extrapolation       0 31.079142 29.016384 33.141899
307        BE17  275 Extrapolation       0 31.080888 28.971261 33.190515
308        BE17  286 Extrapolation       0 31.081830 28.920978 33.242683
309        BE17  297 Extrapolation       0 31.082339 28.866433 33.298244
310        BE17  308 Extrapolation       0 31.082613 28.808394 33.356832
311        BE17  319 Extrapolation       0 31.082761 28.747534 33.417988
312        BE17  330 Extrapolation       0 31.082841 28.684451 33.481231
313        BE17  341 Extrapolation       0 31.082884 28.619669 33.546099
314        BE17  352 Extrapolation       0 31.082907 28.553650 33.612164
315        BE17  363 Extrapolation       0 31.082920 28.486794 33.679046
316        BE17  374 Extrapolation       0 31.082927 28.419443 33.746410
317        BE17  385 Extrapolation       0 31.082930 28.351893 33.813968
318        BE17  396 Extrapolation       0 31.082932 28.284391 33.881474
319        BE17  407 Extrapolation       0 31.082933 28.217147 33.948720
320        BE17  418 Extrapolation       0 31.082934 28.150336 34.015532
321        BE18    1   Rarefaction       0  1.000000  1.000000  1.000000
322        BE18   21   Rarefaction       0 12.112884 11.449334 12.776434
323        BE18   41   Rarefaction       0 18.210635 17.029865 19.391405
324        BE18   62   Rarefaction       0 22.736555 21.100808 24.372302
325        BE18   82   Rarefaction       0 26.072384 24.061970 28.082799
326        BE18  103   Rarefaction       0 28.939061 26.580144 31.297977
327        BE18  123   Rarefaction       0 31.252803 28.591583 33.914023
328        BE18  144   Rarefaction       0 33.362580 30.404988 36.320173
329        BE18  164   Rarefaction       0 35.137727 31.911801 38.363652
330        BE18  185   Rarefaction       0 36.807405 33.310170 40.304641
331        BE18  205   Rarefaction       0 38.247899 34.499574 41.996224
332        BE18  225   Rarefaction       0 39.568693 35.574479 43.562907
333        BE18  246   Rarefaction       0 40.848993 36.600477 45.097508
334        BE18  266   Rarefaction       0 41.984018 37.495523 46.472513
335        BE18  287   Rarefaction       0 43.102250 38.362581 47.841919
336        BE18  307   Rarefaction       0 44.108755 39.129231 49.088278
337        BE18  328   Rarefaction       0 45.114332 39.880777 50.347888
338        BE18  348   Rarefaction       0 46.030936 40.551924 51.509947
339        BE18  369   Rarefaction       0 46.956757 41.214748 52.698765
340        BE18  370      Observed       0 47.000000 41.245305 52.754695
341        BE18  371 Extrapolation       0 47.043170 41.275774 52.810567
342        BE18  390 Extrapolation       0 47.849673 41.837949 53.861396
343        BE18  409 Extrapolation       0 48.630655 42.369050 54.892261
344        BE18  429 Extrapolation       0 49.426060 42.895629 55.956490
345        BE18  448 Extrapolation       0 50.157161 43.366077 56.948244
346        BE18  468 Extrapolation       0 50.901762 43.831050 57.972475
347        BE18  487 Extrapolation       0 51.586168 44.245129 58.927208
348        BE18  506 Extrapolation       0 52.248917 44.633331 59.864504
349        BE18  526 Extrapolation       0 52.923905 45.015160 60.832649
350        BE18  545 Extrapolation       0 53.544324 45.353523 61.735124
351        BE18  565 Extrapolation       0 54.176200 45.685191 62.667208
352        BE18  584 Extrapolation       0 54.756993 45.978055 63.535930
353        BE18  604 Extrapolation       0 55.348510 46.264050 64.432971
354        BE18  623 Extrapolation       0 55.892208 46.515580 65.268837
355        BE18  642 Extrapolation       0 56.418702 46.748406 66.088997
356        BE18  662 Extrapolation       0 56.954917 46.974266 66.935569
357        BE18  681 Extrapolation       0 57.447784 47.171470 67.724098
358        BE18  701 Extrapolation       0 57.949751 47.361697 68.537805
359        BE18  720 Extrapolation       0 58.411138 47.526747 69.295530
360        BE18  740 Extrapolation       0 58.881045 47.684830 70.077260
361        BE19    1   Rarefaction       0  1.000000  1.000000  1.000000
362        BE19   20   Rarefaction       0 11.653124 10.978639 12.327609
363        BE19   39   Rarefaction       0 17.536342 16.384353 18.688330
364        BE19   58   Rarefaction       0 21.624550 20.088719 23.160382
365        BE19   77   Rarefaction       0 24.681593 22.838577 26.524609
366        BE19   96   Rarefaction       0 27.060479 24.974702 29.146255
367        BE19  115   Rarefaction       0 28.957737 26.680085 31.235388
368        BE19  134   Rarefaction       0 30.494614 28.063988 32.925241
369        BE19  153   Rarefaction       0 31.751758 29.197559 34.305957
370        BE19  172   Rarefaction       0 32.786321 30.130572 35.442071
371        BE19  191   Rarefaction       0 33.640998 30.899894 36.382101
372        BE19  210   Rarefaction       0 34.349033 31.534109 37.163957
373        BE19  229   Rarefaction       0 34.937175 32.056220 37.818129
374        BE19  248   Rarefaction       0 35.427491 32.485304 38.369678
375        BE19  267   Rarefaction       0 35.838555 32.837537 38.839573
376        BE19  286   Rarefaction       0 36.186226 33.126817 39.245635
377        BE19  305   Rarefaction       0 36.484182 33.365124 39.603241
378        BE19  324   Rarefaction       0 36.744274 33.562719 39.925829
379        BE19  344   Rarefaction       0 36.988406 33.736208 40.240604
380        BE19  345      Observed       0 37.000000 33.744104 40.255896
381        BE19  346 Extrapolation       0 37.011544 33.751931 40.271156
382        BE19  364 Extrapolation       0 37.210970 33.881302 40.540639
383        BE19  382 Extrapolation       0 37.395374 33.989875 40.800874
384        BE19  400 Extrapolation       0 37.565887 34.079193 41.052582
385        BE19  418 Extrapolation       0 37.723556 34.150792 41.296319
386        BE19  436 Extrapolation       0 37.869347 34.206171 41.532523
387        BE19  454 Extrapolation       0 38.004156 34.246764 41.761547
388        BE19  472 Extrapolation       0 38.128809 34.273940 41.983679
389        BE19  490 Extrapolation       0 38.244073 34.288985 42.199161
390        BE19  508 Extrapolation       0 38.350654 34.293103 42.408205
391        BE19  527 Extrapolation       0 38.454458 34.286829 42.622087
392        BE19  545 Extrapolation       0 38.545191 34.271902 42.818480
393        BE19  563 Extrapolation       0 38.629089 34.249193 43.008984
394        BE19  581 Extrapolation       0 38.706667 34.219565 43.193769
395        BE19  599 Extrapolation       0 38.778401 34.183798 43.373003
396        BE19  617 Extrapolation       0 38.844731 34.142606 43.546856
397        BE19  635 Extrapolation       0 38.906065 34.096629 43.715500
398        BE19  653 Extrapolation       0 38.962778 34.046451 43.879105
399        BE19  671 Extrapolation       0 39.015219 33.992596 44.037843
400        BE19  690 Extrapolation       0 39.066295 33.932280 44.200309
401         BE2    1   Rarefaction       0  1.000000  1.000000  1.000000
402         BE2   25   Rarefaction       0 13.023076 12.438740 13.607412
403         BE2   49   Rarefaction       0 17.407399 16.412551 18.402247
404         BE2   73   Rarefaction       0 19.980530 18.713393 21.247666
405         BE2   97   Rarefaction       0 21.838222 20.345664 23.330780
406         BE2  121   Rarefaction       0 23.304229 21.606423 25.002035
407         BE2  145   Rarefaction       0 24.518636 22.632738 26.404533
408         BE2  169   Rarefaction       0 25.557721 23.501469 27.613974
409         BE2  193   Rarefaction       0 26.467683 24.258282 28.677085
410         BE2  217   Rarefaction       0 27.278150 24.931072 29.625229
411         BE2  241   Rarefaction       0 28.008871 25.537274 30.480469
412         BE2  265   Rarefaction       0 28.673349 26.087944 31.258754
413         BE2  289   Rarefaction       0 29.280941 26.590061 31.971822
414         BE2  313   Rarefaction       0 29.838156 27.047878 32.628433
415         BE2  337   Rarefaction       0 30.349501 27.463777 33.235225
416         BE2  361   Rarefaction       0 30.818092 27.838850 33.797333
417         BE2  385   Rarefaction       0 31.246090 28.173334 34.318846
418         BE2  409   Rarefaction       0 31.635050 28.466944 34.803156
419         BE2  433   Rarefaction       0 31.986175 28.719130 35.253220
420         BE2  434      Observed       0 32.000000 28.728730 35.271270
421         BE2  435 Extrapolation       0 32.013761 28.738256 35.289267
422         BE2  457 Extrapolation       0 32.301007 28.929316 35.672697
423         BE2  480 Extrapolation       0 32.571742 29.092433 36.051051
424         BE2  503 Extrapolation       0 32.815250 29.220427 36.410072
425         BE2  526 Extrapolation       0 33.034269 29.316041 36.752496
426         BE2  548 Extrapolation       0 33.223124 29.379867 37.066381
427         BE2  571 Extrapolation       0 33.401124 29.420496 37.381753
428         BE2  594 Extrapolation       0 33.561224 29.437198 37.685249
429         BE2  617 Extrapolation       0 33.705222 29.432607 37.977837
430         BE2  640 Extrapolation       0 33.834739 29.409168 38.260311
431         BE2  662 Extrapolation       0 33.946419 29.371179 38.521659
432         BE2  685 Extrapolation       0 34.051680 29.317156 38.786203
433         BE2  708 Extrapolation       0 34.146354 29.250327 39.042382
434         BE2  731 Extrapolation       0 34.231508 29.172356 39.290660
435         BE2  754 Extrapolation       0 34.308098 29.084732 39.531464
436         BE2  776 Extrapolation       0 34.374140 28.993115 39.755165
437         BE2  799 Extrapolation       0 34.436386 28.890323 39.982448
438         BE2  822 Extrapolation       0 34.492372 28.781412 40.203331
439         BE2  845 Extrapolation       0 34.542727 28.667324 40.418131
440         BE2  868 Extrapolation       0 34.588019 28.548898 40.627139
441        BE20    1   Rarefaction       0  1.000000  1.000000  1.000000
442        BE20    9   Rarefaction       0  4.998871  4.461171  5.536570
443        BE20   17   Rarefaction       0  7.549573  6.678285  8.420860
444        BE20   25   Rarefaction       0  9.491694  8.340793 10.642594
445        BE20   33   Rarefaction       0 11.025323  9.624641 12.426005
446        BE20   41   Rarefaction       0 12.273575 10.643286 13.903864
447        BE20   50   Rarefaction       0 13.433704 11.559921 15.307487
448        BE20   58   Rarefaction       0 14.304538 12.221015 16.388061
449        BE20   66   Rarefaction       0 15.061033 12.769900 17.352166
450        BE20   74   Rarefaction       0 15.728438 13.229470 18.227406
451        BE20   82   Rarefaction       0 16.325805 13.617620 19.033990
452        BE20   90   Rarefaction       0 16.867926 13.948748 19.787105
453        BE20   99   Rarefaction       0 17.426259 14.267612 20.584906
454        BE20  107   Rarefaction       0 17.886975 14.513776 21.260173
455        BE20  115   Rarefaction       0 18.321915 14.732723 21.911106
456        BE20  123   Rarefaction       0 18.737000 14.930415 22.543585
457        BE20  131   Rarefaction       0 19.136982 15.111523 23.162442
458        BE20  139   Rarefaction       0 19.525643 15.279633 23.771654
459        BE20  148   Rarefaction       0 19.953020 15.456530 24.449510
460        BE20  149      Observed       0 20.000000 15.475505 24.524495
461        BE20  150 Extrapolation       0 20.046889 15.494347 24.599431
462        BE20  157 Extrapolation       0 20.372595 15.622573 25.122616
463        BE20  165 Extrapolation       0 20.739485 15.761426 25.717544
464        BE20  173 Extrapolation       0 21.100758 15.892414 26.309101
465        BE20  181 Extrapolation       0 21.456499 16.015936 26.897063
466        BE20  188 Extrapolation       0 21.763302 16.118212 27.408393
467        BE20  196 Extrapolation       0 22.108900 16.228815 27.988984
468        BE20  204 Extrapolation       0 22.449206 16.333069 28.565343
469        BE20  212 Extrapolation       0 22.784301 16.431310 29.137293
470        BE20  220 Extrapolation       0 23.114267 16.523849 29.704684
471        BE20  227 Extrapolation       0 23.398839 16.600365 30.197313
472        BE20  235 Extrapolation       0 23.719395 16.682954 30.755837
473        BE20  243 Extrapolation       0 24.035044 16.760591 31.309496
474        BE20  251 Extrapolation       0 24.345859 16.833496 31.858222
475        BE20  259 Extrapolation       0 24.651916 16.901874 32.401957
476        BE20  266 Extrapolation       0 24.915869 16.958142 32.873596
477        BE20  274 Extrapolation       0 25.213198 17.018535 33.407862
478        BE20  282 Extrapolation       0 25.505975 17.074916 33.937035
479        BE20  290 Extrapolation       0 25.794270 17.127442 34.461098
480        BE20  298 Extrapolation       0 26.078150 17.176262 34.980039
481        BE21    1   Rarefaction       0  1.000000  1.000000  1.000000
482        BE21   21   Rarefaction       0 13.115679 12.548797 13.682560
483        BE21   42   Rarefaction       0 19.201210 18.181197 20.221223
484        BE21   63   Rarefaction       0 22.873653 21.524226 24.223080
485        BE21   83   Rarefaction       0 25.261995 23.646650 26.877339
486        BE21  104   Rarefaction       0 27.101914 25.238950 28.964877
487        BE21  125   Rarefaction       0 28.509440 26.425789 30.593090
488        BE21  145   Rarefaction       0 29.577591 27.306214 31.848969
489        BE21  166   Rarefaction       0 30.494988 28.047470 32.942505
490        BE21  187   Rarefaction       0 31.257564 28.652608 33.862521
491        BE21  207   Rarefaction       0 31.874714 29.134739 34.614690
492        BE21  228   Rarefaction       0 32.434287 29.565953 35.302621
493        BE21  249   Rarefaction       0 32.922967 29.938110 35.907825
494        BE21  269   Rarefaction       0 33.336297 30.250044 36.422550
495        BE21  290   Rarefaction       0 33.726760 30.542893 36.910627
496        BE21  311   Rarefaction       0 34.081608 30.808168 37.355047
497        BE21  331   Rarefaction       0 34.393189 31.041083 37.745294
498        BE21  352   Rarefaction       0 34.698527 31.269985 38.127070
499        BE21  373   Rarefaction       0 34.986631 31.487151 38.486111
500        BE21  374      Observed       0 35.000000 31.497265 38.502735
501        BE21  375 Extrapolation       0 35.013340 31.507362 38.519319
502        BE21  394 Extrapolation       0 35.261452 31.695696 38.827208
503        BE21  414 Extrapolation       0 35.511937 31.886250 39.137624
504        BE21  433 Extrapolation       0 35.740160 32.059335 39.420985
505        BE21  453 Extrapolation       0 35.970566 32.232608 39.708524
506        BE21  473 Extrapolation       0 36.191308 32.396288 39.986328
507        BE21  492 Extrapolation       0 36.392431 32.542604 40.242257
508        BE21  512 Extrapolation       0 36.595478 32.686771 40.504184
509        BE21  532 Extrapolation       0 36.790008 32.820754 40.759263
510        BE21  551 Extrapolation       0 36.967249 32.938622 40.995876
511        BE21  571 Extrapolation       0 37.146186 33.052886 41.239485
512        BE21  590 Extrapolation       0 37.309219 33.152285 41.466152
513        BE21  610 Extrapolation       0 37.473812 33.247518 41.700105
514        BE21  630 Extrapolation       0 37.631501 33.333405 41.929597
515        BE21  649 Extrapolation       0 37.775175 33.406648 42.143702
516        BE21  669 Extrapolation       0 37.920223 33.475309 42.365138
517        BE21  689 Extrapolation       0 38.059188 33.535696 42.582680
518        BE21  708 Extrapolation       0 38.185802 33.585766 42.785837
519        BE21  728 Extrapolation       0 38.313627 33.631179 42.996075
520        BE21  748 Extrapolation       0 38.436091 33.669511 43.202670
521        BE22    1   Rarefaction       0  1.000000  1.000000  1.000000
522        BE22   13   Rarefaction       0  7.899465  7.404590  8.394339
523        BE22   26   Rarefaction       0 11.603777 10.750745 12.456809
524        BE22   39   Rarefaction       0 13.950397 12.798127 15.102666
525        BE22   52   Rarefaction       0 15.644976 14.258014 17.031938
526        BE22   64   Rarefaction       0 16.872635 15.320418 18.424851
527        BE22   77   Rarefaction       0 17.957380 16.268313 19.646448
528        BE22   90   Rarefaction       0 18.852567 17.057818 20.647316
529        BE22  103   Rarefaction       0 19.599490 17.720324 21.478657
530        BE22  116   Rarefaction       0 20.226705 18.277396 22.176014
531        BE22  128   Rarefaction       0 20.718151 18.712640 22.723662
532        BE22  141   Rarefaction       0 21.171919 19.111783 23.232056
533        BE22  154   Rarefaction       0 21.557731 19.447359 23.668102
534        BE22  167   Rarefaction       0 21.887440 19.729646 24.045235
535        BE22  179   Rarefaction       0 22.150670 19.950489 24.350851
536        BE22  192   Rarefaction       0 22.399347 20.153654 24.645040
537        BE22  205   Rarefaction       0 22.617351 20.325416 24.909285
538        BE22  218   Rarefaction       0 22.811278 20.471118 25.151438
539        BE22  231   Rarefaction       0 22.987069 20.595337 25.378800
540        BE22  232      Observed       0 23.000000 20.604121 25.395879
541        BE22  233 Extrapolation       0 23.012857 20.612798 25.412916
542        BE22  245 Extrapolation       0 23.161503 20.708485 25.614521
543        BE22  257 Extrapolation       0 23.300229 20.788464 25.811995
544        BE22  269 Extrapolation       0 23.429698 20.853084 26.006312
545        BE22  281 Extrapolation       0 23.550527 20.903110 26.197944
546        BE22  293 Extrapolation       0 23.663292 20.939518 26.387066
547        BE22  305 Extrapolation       0 23.768532 20.963376 26.573688
548        BE22  318 Extrapolation       0 23.874632 20.976329 26.772935
549        BE22  330 Extrapolation       0 23.965768 20.977532 26.954004
550        BE22  342 Extrapolation       0 24.050823 20.969469 27.132177
551        BE22  354 Extrapolation       0 24.130201 20.953102 27.307300
552        BE22  366 Extrapolation       0 24.204283 20.929327 27.479238
553        BE22  378 Extrapolation       0 24.273420 20.898966 27.647875
554        BE22  391 Extrapolation       0 24.343123 20.859509 27.826737
555        BE22  403 Extrapolation       0 24.402995 20.817752 27.988238
556        BE22  415 Extrapolation       0 24.458872 20.771502 28.146242
557        BE22  427 Extrapolation       0 24.511020 20.721307 28.300732
558        BE22  439 Extrapolation       0 24.559688 20.667663 28.451712
559        BE22  451 Extrapolation       0 24.605108 20.611012 28.599203
560        BE22  464 Extrapolation       0 24.650899 20.546710 28.755088
561        BE23    1   Rarefaction       0  1.000000  1.000000  1.000000
562        BE23   13   Rarefaction       0  7.303662  6.823256  7.784067
563        BE23   25   Rarefaction       0 10.396894  9.587014 11.206775
564        BE23   37   Rarefaction       0 12.413750 11.349540 13.477960
565        BE23   49   Rarefaction       0 13.902563 12.632395 15.172730
566        BE23   62   Rarefaction       0 15.168013 13.706966 16.629061
567        BE23   74   Rarefaction       0 16.118072 14.498075 17.738068
568        BE23   86   Rarefaction       0 16.910940 15.141842 18.680037
569        BE23   98   Rarefaction       0 17.578553 15.666599 19.490508
570        BE23  111   Rarefaction       0 18.187333 16.125287 20.249380
571        BE23  123   Rarefaction       0 18.663242 16.465686 20.860799
572        BE23  135   Rarefaction       0 19.072157 16.741276 21.403039
573        BE23  147   Rarefaction       0 19.426951 16.964487 21.889415
574        BE23  159   Rarefaction       0 19.738685 17.146051 22.331318
575        BE23  172   Rarefaction       0 20.038857 17.306413 22.771301
576        BE23  184   Rarefaction       0 20.290118 17.429275 23.150960
577        BE23  196   Rarefaction       0 20.523969 17.534756 23.513182
578        BE23  208   Rarefaction       0 20.746715 17.628377 23.865052
579        BE23  221   Rarefaction       0 20.981982 17.721754 24.242210
580        BE23  222      Observed       0 21.000000 17.728730 24.271270
581        BE23  223 Extrapolation       0 21.017964 17.735626 24.300302
582        BE23  234 Extrapolation       0 21.212036 17.806248 24.617824
583        BE23  246 Extrapolation       0 21.416544 17.872689 24.960400
584        BE23  257 Extrapolation       0 21.597627 17.924377 25.270876
585        BE23  269 Extrapolation       0 21.788447 17.971332 25.605562
586        BE23  281 Extrapolation       0 21.972493 18.009118 25.935869
587        BE23  292 Extrapolation       0 22.135458 18.036294 26.234621
588        BE23  304 Extrapolation       0 22.307185 18.058427 26.555944
589        BE23  316 Extrapolation       0 22.472817 18.073343 26.872291
590        BE23  327 Extrapolation       0 22.619476 18.081192 27.157759
591        BE23  339 Extrapolation       0 22.774021 18.083925 27.464117
592        BE23  350 Extrapolation       0 22.910864 18.081521 27.740207
593        BE23  362 Extrapolation       0 23.055065 18.073990 28.036141
594        BE23  374 Extrapolation       0 23.194148 18.061770 28.326526
595        BE23  385 Extrapolation       0 23.317299 18.046796 28.587801
596        BE23  397 Extrapolation       0 23.447072 18.026695 28.867449
597        BE23  409 Extrapolation       0 23.572239 18.002997 29.141481
598        BE23  420 Extrapolation       0 23.683068 17.978382 29.387753
599        BE23  432 Extrapolation       0 23.799857 17.948645 29.651069
600        BE23  444 Extrapolation       0 23.912500 17.916153 29.908846
601        BE24    1   Rarefaction       0  1.000000  1.000000  1.000000
602        BE24   18   Rarefaction       0  6.864988  6.188638  7.541338
603        BE24   35   Rarefaction       0 10.030663  8.983404 11.077923
604        BE24   52   Rarefaction       0 12.141490 10.839944 13.443036
605        BE24   69   Rarefaction       0 13.673474 12.182840 15.164109
606        BE24   87   Rarefaction       0 14.906927 13.260050 16.553805
607        BE24  104   Rarefaction       0 15.825390 14.059674 17.591106
608        BE24  121   Rarefaction       0 16.572932 14.708966 18.436897
609        BE24  138   Rarefaction       0 17.191822 15.245375 19.138268
610        BE24  156   Rarefaction       0 17.738221 15.717744 19.758698
611        BE24  173   Rarefaction       0 18.172099 16.091452 20.252745
612        BE24  190   Rarefaction       0 18.540800 16.407221 20.674378
613        BE24  207   Rarefaction       0 18.855179 16.673994 21.036364
614        BE24  224   Rarefaction       0 19.123735 16.898494 21.348975
615        BE24  242   Rarefaction       0 19.365698 17.095771 21.635625
616        BE24  259   Rarefaction       0 19.560013 17.247949 21.872077
617        BE24  276   Rarefaction       0 19.725817 17.369961 22.081673
618        BE24  293   Rarefaction       0 19.867040 17.464091 22.269990
619        BE24  311   Rarefaction       0 19.993590 17.535443 22.451737
620        BE24  312      Observed       0 20.000000 17.538592 22.461408
621        BE24  313 Extrapolation       0 20.006349 17.541665 22.471034
622        BE24  329 Extrapolation       0 20.100065 17.580884 22.619245
623        BE24  345 Extrapolation       0 20.180437 17.603015 22.757858
624        BE24  362 Extrapolation       0 20.253331 17.610378 22.896285
625        BE24  378 Extrapolation       0 20.311880 17.604376 23.019385
626        BE24  394 Extrapolation       0 20.362093 17.587833 23.136353
627        BE24  411 Extrapolation       0 20.407634 17.560649 23.254619
628        BE24  427 Extrapolation       0 20.444212 17.527620 23.360804
629        BE24  443 Extrapolation       0 20.475582 17.488715 23.462450
630        BE24  460 Extrapolation       0 20.504034 17.442193 23.565875
631        BE24  476 Extrapolation       0 20.526886 17.394536 23.659237
632        BE24  493 Extrapolation       0 20.547613 17.340708 23.754518
633        BE24  509 Extrapolation       0 20.564260 17.287758 23.840762
634        BE24  525 Extrapolation       0 20.578537 17.233174 23.923900
635        BE24  542 Extrapolation       0 20.591486 17.173922 24.009049
636        BE24  558 Extrapolation       0 20.601886 17.117395 24.086378
637        BE24  574 Extrapolation       0 20.610806 17.060469 24.161143
638        BE24  591 Extrapolation       0 20.618896 16.999856 24.237935
639        BE24  607 Extrapolation       0 20.625393 16.942927 24.307859
640        BE24  624 Extrapolation       0 20.631286 16.882779 24.379794
641        BE25    1   Rarefaction       0  1.000000  1.000000  1.000000
642        BE25   14   Rarefaction       0  8.523522  7.998842  9.048201
643        BE25   27   Rarefaction       0 12.536058 11.633018 13.439099
644        BE25   40   Rarefaction       0 15.249265 14.017670 16.480860
645        BE25   53   Rarefaction       0 17.287512 15.765924 18.809100
646        BE25   66   Rarefaction       0 18.925222 17.145193 20.705252
647        BE25   79   Rarefaction       0 20.299450 18.288681 22.310219
648        BE25   92   Rarefaction       0 21.486615 19.270787 23.702444
649        BE25  105   Rarefaction       0 22.533260 20.136202 24.930317
650        BE25  118   Rarefaction       0 23.469568 20.912821 26.026314
651        BE25  131   Rarefaction       0 24.315982 21.618332 27.013631
652        BE25  144   Rarefaction       0 25.086767 22.263947 27.909587
653        BE25  157   Rarefaction       0 25.792078 22.856630 28.727527
654        BE25  170   Rarefaction       0 26.439213 23.400464 29.477962
655        BE25  183   Rarefaction       0 27.033413 23.897511 30.169315
656        BE25  196   Rarefaction       0 27.578409 24.348383 30.808435
657        BE25  209   Rarefaction       0 28.076819 24.752655 31.400984
658        BE25  222   Rarefaction       0 28.530470 25.109188 31.951753
659        BE25  236   Rarefaction       0 28.970464 25.437961 32.502968
660        BE25  237      Observed       0 29.000000 25.459200 32.540800
661        BE25  238 Extrapolation       0 29.029288 25.480138 32.578438
662        BE25  250 Extrapolation       0 29.362122 25.708549 33.015695
663        BE25  262 Extrapolation       0 29.662902 25.896938 33.428865
664        BE25  275 Extrapolation       0 29.956147 26.059536 33.852758
665        BE25  287 Extrapolation       0 30.199717 26.174750 34.224685
666        BE25  300 Extrapolation       0 30.437187 26.265532 34.608842
667        BE25  312 Extrapolation       0 30.634429 26.321163 34.947696
668        BE25  324 Extrapolation       0 30.812676 26.352706 35.272645
669        BE25  337 Extrapolation       0 30.986458 26.362798 35.610117
670        BE25  349 Extrapolation       0 31.130801 26.352524 35.909078
671        BE25  362 Extrapolation       0 31.271529 26.322844 36.220214
672        BE25  374 Extrapolation       0 31.388418 26.280494 36.496342
673        BE25  387 Extrapolation       0 31.502379 26.220583 36.784175
674        BE25  399 Extrapolation       0 31.597035 26.154069 37.040002
675        BE25  411 Extrapolation       0 31.682576 26.078283 37.286869
676        BE25  424 Extrapolation       0 31.765973 25.987210 37.544736
677        BE25  436 Extrapolation       0 31.835243 25.896086 37.774400
678        BE25  449 Extrapolation       0 31.902778 25.790928 38.014628
679        BE25  461 Extrapolation       0 31.958873 25.688869 38.228877
680        BE25  474 Extrapolation       0 32.013563 25.573837 38.453289
681        BE26    1   Rarefaction       0  1.000000  1.000000  1.000000
682        BE26   17   Rarefaction       0  8.294868  7.744262  8.845473
683        BE26   34   Rarefaction       0 12.173887 11.309997 13.037777
684        BE26   51   Rarefaction       0 14.750614 13.641915 15.859314
685        BE26   68   Rarefaction       0 16.650578 15.330579 17.970578
686        BE26   85   Rarefaction       0 18.136338 16.635444 19.637232
687        BE26  102   Rarefaction       0 19.343970 17.689806 20.998133
688        BE26  118   Rarefaction       0 20.298432 18.521179 22.075684
689        BE26  135   Rarefaction       0 21.167953 19.277826 23.058081
690        BE26  152   Rarefaction       0 21.922608 19.933870 23.911346
691        BE26  169   Rarefaction       0 22.586843 20.510235 24.663451
692        BE26  186   Rarefaction       0 23.178150 21.021583 25.334718
693        BE26  203   Rarefaction       0 23.709207 21.478313 25.940102
694        BE26  219   Rarefaction       0 24.162274 21.864893 26.459656
695        BE26  236   Rarefaction       0 24.600383 22.234545 26.966220
696        BE26  253   Rarefaction       0 24.998639 22.565257 27.432021
697        BE26  270   Rarefaction       0 25.360463 22.859211 27.861715
698        BE26  287   Rarefaction       0 25.688233 23.117599 28.258866
699        BE26  304   Rarefaction       0 25.983607 23.340862 28.626351
700        BE26  305      Observed       0 26.000000 23.352901 28.647099
701        BE26  306 Extrapolation       0 26.016286 23.364818 28.667754
702        BE26  322 Extrapolation       0 26.262853 23.539479 28.986227
703        BE26  338 Extrapolation       0 26.484861 23.685600 29.284121
704        BE26  354 Extrapolation       0 26.684756 23.805491 29.564022
705        BE26  370 Extrapolation       0 26.864742 23.901402 29.828081
706        BE26  386 Extrapolation       0 27.026800 23.975509 30.078092
707        BE26  402 Extrapolation       0 27.172718 24.029890 30.315545
708        BE26  418 Extrapolation       0 27.304101 24.066510 30.541693
709        BE26  434 Extrapolation       0 27.422399 24.087210 30.757588
710        BE26  450 Extrapolation       0 27.528914 24.093697 30.964130
711        BE26  466 Extrapolation       0 27.624819 24.087546 31.162093
712        BE26  482 Extrapolation       0 27.711173 24.070196 31.352149
713        BE26  498 Extrapolation       0 27.788925 24.042962 31.534888
714        BE26  514 Extrapolation       0 27.858933 24.007032 31.710834
715        BE26  530 Extrapolation       0 27.921968 23.963482 31.880454
716        BE26  546 Extrapolation       0 27.978725 23.913281 32.044169
717        BE26  562 Extrapolation       0 28.029829 23.857301 32.202356
718        BE26  578 Extrapolation       0 28.075842 23.796321 32.355363
719        BE26  594 Extrapolation       0 28.117273 23.731042 32.503503
720        BE26  610 Extrapolation       0 28.154577 23.662090 32.647064
721        BE27    1   Rarefaction       0  1.000000  1.000000  1.000000
722        BE27   18   Rarefaction       0 10.875748 10.344612 11.406884
723        BE27   35   Rarefaction       0 15.893033 14.874994 16.911072
724        BE27   52   Rarefaction       0 19.289489 17.831312 20.747666
725        BE27   69   Rarefaction       0 21.893524 20.050400 23.736647
726        BE27   87   Rarefaction       0 24.154244 21.955924 26.352564
727        BE27  104   Rarefaction       0 25.985420 23.489718 28.481121
728        BE27  121   Rarefaction       0 27.606656 24.841234 30.372079
729        BE27  138   Rarefaction       0 29.066564 26.052404 32.080723
730        BE27  156   Rarefaction       0 30.470593 27.210682 33.730505
731        BE27  173   Rarefaction       0 31.684712 28.205751 35.163674
732        BE27  190   Rarefaction       0 32.805831 29.117859 36.493804
733        BE27  207   Rarefaction       0 33.846082 29.957063 37.735101
734        BE27  224   Rarefaction       0 34.815559 30.731686 38.899431
735        BE27  242   Rarefaction       0 35.774585 31.489385 40.059785
736        BE27  259   Rarefaction       0 36.624652 32.152472 41.096833
737        BE27  276   Rarefaction       0 37.427632 32.770114 42.085149
738        BE27  293   Rarefaction       0 38.189723 33.347162 43.032284
739        BE27  311   Rarefaction       0 38.958333 33.918715 43.997951
740        BE27  312      Observed       0 39.000000 33.949371 44.050629
741        BE27  313 Extrapolation       0 39.041564 33.979915 44.103212
742        BE27  329 Extrapolation       0 39.692809 34.453724 44.931895
743        BE27  345 Extrapolation       0 40.318816 34.900109 45.737523
744        BE27  362 Extrapolation       0 40.957387 35.345386 46.569388
745        BE27  378 Extrapolation       0 41.534385 35.738167 47.330604
746        BE27  394 Extrapolation       0 42.089022 36.106432 48.071612
747        BE27  411 Extrapolation       0 42.654791 36.471961 48.837620
748        BE27  427 Extrapolation       0 43.166006 36.792806 49.539207
749        BE27  443 Extrapolation       0 43.657410 37.092199 50.222622
750        BE27  460 Extrapolation       0 44.158677 37.387921 50.929433
751        BE27  476 Extrapolation       0 44.611610 37.646225 51.576994
752        BE27  493 Extrapolation       0 45.073633 37.900510 52.246757
753        BE27  509 Extrapolation       0 45.491107 38.121860 52.860355
754        BE27  525 Extrapolation       0 45.892402 38.326716 53.458089
755        BE27  542 Extrapolation       0 46.301752 38.527299 54.076204
756        BE27  558 Extrapolation       0 46.671630 38.700911 54.642350
757        BE27  574 Extrapolation       0 47.027174 38.860647 55.193702
758        BE27  591 Extrapolation       0 47.389854 39.016040 55.763669
759        BE27  607 Extrapolation       0 47.717564 39.149595 56.285533
760        BE27  624 Extrapolation       0 48.051851 39.278817 56.824885
761        BE28    1   Rarefaction       0  1.000000  1.000000  1.000000
762        BE28   15   Rarefaction       0  9.699114  9.243426 10.154801
763        BE28   30   Rarefaction       0 14.392769 13.417352 15.368186
764        BE28   45   Rarefaction       0 17.418904 16.020367 18.817442
765        BE28   59   Rarefaction       0 19.488162 17.769941 21.206382
766        BE28   74   Rarefaction       0 21.213806 19.214731 23.212881
767        BE28   89   Rarefaction       0 22.600171 20.369011 24.831331
768        BE28  104   Rarefaction       0 23.748697 21.323268 26.174127
769        BE28  118   Rarefaction       0 24.662033 22.082415 27.241651
770        BE28  133   Rarefaction       0 25.509951 22.788534 28.231368
771        BE28  148   Rarefaction       0 26.250541 23.406850 29.094233
772        BE28  162   Rarefaction       0 26.863022 23.919258 29.806786
773        BE28  177   Rarefaction       0 27.449458 24.410187 30.488729
774        BE28  192   Rarefaction       0 27.975553 24.849781 31.101325
775        BE28  207   Rarefaction       0 28.451234 25.245042 31.657425
776        BE28  221   Rarefaction       0 28.857092 25.578920 32.135265
777        BE28  236   Rarefaction       0 29.257896 25.903463 32.612329
778        BE28  251   Rarefaction       0 29.629571 26.197366 33.061776
779        BE28  266   Rarefaction       0 29.977528 26.463684 33.491373
780        BE28  267      Observed       0 30.000000 26.480519 33.519481
781        BE28  268 Extrapolation       0 30.022388 26.497241 33.547534
782        BE28  282 Extrapolation       0 30.327153 26.719402 33.934905
783        BE28  296 Extrapolation       0 30.616322 26.919330 34.313313
784        BE28  310 Extrapolation       0 30.890692 27.097455 34.683929
785        BE28  324 Extrapolation       0 31.151020 27.254527 35.047513
786        BE28  338 Extrapolation       0 31.398026 27.391527 35.404524
787        BE28  352 Extrapolation       0 31.632391 27.509575 35.755206
788        BE28  366 Extrapolation       0 31.854761 27.609868 36.099655
789        BE28  380 Extrapolation       0 32.065752 27.693628 36.437875
790        BE28  394 Extrapolation       0 32.265944 27.762068 36.769820
791        BE28  408 Extrapolation       0 32.455891 27.816365 37.095418
792        BE28  422 Extrapolation       0 32.636118 27.857643 37.414593
793        BE28  436 Extrapolation       0 32.807121 27.886961 37.727281
794        BE28  450 Extrapolation       0 32.969372 27.905313 38.033432
795        BE28  464 Extrapolation       0 33.123321 27.913622 38.333019
796        BE28  478 Extrapolation       0 33.269390 27.912743 38.626037
797        BE28  492 Extrapolation       0 33.407984 27.903464 38.912505
798        BE28  506 Extrapolation       0 33.539485 27.886509 39.192461
799        BE28  520 Extrapolation       0 33.664257 27.862547 39.465967
800        BE28  534 Extrapolation       0 33.782643 27.832189 39.733097
801        BE29    1   Rarefaction       0  1.000000  1.000000  1.000000
802        BE29   14   Rarefaction       0  8.453726  8.016924  8.890528
803        BE29   27   Rarefaction       0 12.155709 11.449125 12.862293
804        BE29   41   Rarefaction       0 14.623942 13.704106 15.543778
805        BE29   54   Rarefaction       0 16.162181 15.085251 17.239111
806        BE29   67   Rarefaction       0 17.277251 16.075024 18.479478
807        BE29   81   Rarefaction       0 18.184816 16.872887 19.496745
808        BE29   94   Rarefaction       0 18.848821 17.450767 20.246876
809        BE29  108   Rarefaction       0 19.431024 17.951425 20.910623
810        BE29  121   Rarefaction       0 19.880895 18.332456 21.429334
811        BE29  134   Rarefaction       0 20.263635 18.650507 21.876763
812        BE29  148   Rarefaction       0 20.616017 18.935713 22.296320
813        BE29  161   Rarefaction       0 20.897785 19.155792 22.639778
814        BE29  175   Rarefaction       0 21.160429 19.351288 22.969571
815        BE29  188   Rarefaction       0 21.371946 19.498738 23.245153
816        BE29  201   Rarefaction       0 21.556356 19.616637 23.496076
817        BE29  215   Rarefaction       0 21.728161 19.713386 23.742936
818        BE29  228   Rarefaction       0 21.865443 19.777273 23.953613
819        BE29  242   Rarefaction       0 21.991770 19.820077 24.163462
820        BE29  243      Observed       0 22.000000 19.822151 24.177849
821        BE29  244 Extrapolation       0 22.008130 19.824115 24.192144
822        BE29  256 Extrapolation       0 22.098259 19.839460 24.357058
823        BE29  269 Extrapolation       0 22.181976 19.840356 24.523597
824        BE29  282 Extrapolation       0 22.253303 19.827143 24.679463
825        BE29  294 Extrapolation       0 22.309737 19.804390 24.815085
826        BE29  307 Extrapolation       0 22.362156 19.770269 24.954043
827        BE29  320 Extrapolation       0 22.406817 19.728111 25.085523
828        BE29  333 Extrapolation       0 22.444868 19.679529 25.210208
829        BE29  345 Extrapolation       0 22.474974 19.630168 25.319780
830        BE29  358 Extrapolation       0 22.502938 19.572890 25.432987
831        BE29  371 Extrapolation       0 22.526764 19.512600 25.540927
832        BE29  384 Extrapolation       0 22.547063 19.450112 25.644014
833        BE29  396 Extrapolation       0 22.563124 19.391062 25.735185
834        BE29  409 Extrapolation       0 22.578042 19.326134 25.829949
835        BE29  422 Extrapolation       0 22.590752 19.260664 25.920841
836        BE29  435 Extrapolation       0 22.601581 19.195034 26.008129
837        BE29  447 Extrapolation       0 22.610149 19.134584 26.085714
838        BE29  460 Extrapolation       0 22.618108 19.069483 26.166732
839        BE29  473 Extrapolation       0 22.624888 19.004991 26.244786
840        BE29  486 Extrapolation       0 22.630665 18.941279 26.320051
841         BE3    1   Rarefaction       0  1.000000  1.000000  1.000000
842         BE3   17   Rarefaction       0 12.399461 11.844781 12.954140
843         BE3   33   Rarefaction       0 18.989242 17.805602 20.172881
844         BE3   49   Rarefaction       0 23.367750 21.719217 25.016282
845         BE3   65   Rarefaction       0 26.515115 24.518671 28.511559
846         BE3   82   Rarefaction       0 29.013965 26.730015 31.297915
847         BE3   98   Rarefaction       0 30.833874 28.330695 33.337052
848         BE3  114   Rarefaction       0 32.297183 29.608846 34.985520
849         BE3  130   Rarefaction       0 33.506064 30.656363 36.355766
850         BE3  147   Rarefaction       0 34.588193 31.585090 37.591297
851         BE3  163   Rarefaction       0 35.464880 32.328973 38.600787
852         BE3  179   Rarefaction       0 36.236232 32.974929 39.497535
853         BE3  195   Rarefaction       0 36.924028 33.541999 40.306057
854         BE3  211   Rarefaction       0 37.543707 34.043600 41.043814
855         BE3  228   Rarefaction       0 38.139947 34.515623 41.764270
856         BE3  244   Rarefaction       0 38.651286 34.910074 42.392498
857         BE3  260   Rarefaction       0 39.120701 35.261800 42.979602
858         BE3  276   Rarefaction       0 39.553061 35.575059 43.531064
859         BE3  293   Rarefaction       0 39.976190 35.869533 44.082848
860         BE3  294      Observed       0 40.000000 35.885695 44.114305
861         BE3  295 Extrapolation       0 40.023694 35.901733 44.145655
862         BE3  310 Extrapolation       0 40.365616 36.127574 44.603658
863         BE3  325 Extrapolation       0 40.683480 36.326516 45.040445
864         BE3  341 Extrapolation       0 40.997924 36.510398 45.485450
865         BE3  356 Extrapolation       0 41.271299 36.657629 45.884970
866         BE3  372 Extrapolation       0 41.541733 36.789472 46.293994
867         BE3  387 Extrapolation       0 41.776846 36.890997 46.662696
868         BE3  402 Extrapolation       0 41.995417 36.972672 47.018162
869         BE3  418 Extrapolation       0 42.211636 37.039564 47.383708
870         BE3  433 Extrapolation       0 42.399615 37.084817 47.714414
871         BE3  449 Extrapolation       0 42.585572 37.116039 48.055104
872         BE3  464 Extrapolation       0 42.747241 37.130701 48.363781
873         BE3  480 Extrapolation       0 42.907170 37.132166 48.682175
874         BE3  495 Extrapolation       0 43.046212 37.121461 48.970963
875         BE3  510 Extrapolation       0 43.175471 37.100159 49.250784
876         BE3  526 Extrapolation       0 43.303339 37.066868 49.539811
877         BE3  541 Extrapolation       0 43.414507 37.026715 49.802298
878         BE3  557 Extrapolation       0 43.524478 36.975317 50.073639
879         BE3  572 Extrapolation       0 43.620086 36.919915 50.320258
880         BE3  588 Extrapolation       0 43.714666 36.853937 50.575395
881        BE30    1   Rarefaction       0  1.000000  1.000000  1.000000
882        BE30   15   Rarefaction       0  8.070304  7.511302  8.629306
883        BE30   30   Rarefaction       0 11.723175 10.804738 12.641612
884        BE30   45   Rarefaction       0 14.106032 12.905668 15.306397
885        BE30   59   Rarefaction       0 15.756410 14.307027 17.205793
886        BE30   74   Rarefaction       0 17.183199 15.472252 18.894146
887        BE30   89   Rarefaction       0 18.399835 16.434866 20.364804
888        BE30  103   Rarefaction       0 19.415610 17.222547 21.608673
889        BE30  118   Rarefaction       0 20.417180 17.989907 22.844453
890        BE30  133   Rarefaction       0 21.353511 18.701685 24.005338
891        BE30  147   Rarefaction       0 22.181532 19.327421 25.035644
892        BE30  162   Rarefaction       0 23.027747 19.962994 26.092500
893        BE30  177   Rarefaction       0 23.836757 20.565921 27.107592
894        BE30  191   Rarefaction       0 24.561220 21.100705 28.021736
895        BE30  206   Rarefaction       0 25.306752 21.644450 28.969054
896        BE30  221   Rarefaction       0 26.022146 22.158193 29.886099
897        BE30  235   Rarefaction       0 26.663821 22.610604 30.717038
898        BE30  250   Rarefaction       0 27.324546 23.066153 31.582939
899        BE30  265   Rarefaction       0 27.958647 23.491258 32.426035
900        BE30  266      Observed       0 28.000000 23.518508 32.481492
901        BE30  267 Extrapolation       0 28.041240 23.545621 32.536860
902        BE30  280 Extrapolation       0 28.567203 23.885728 33.248678
903        BE30  294 Extrapolation       0 29.113055 24.226655 33.999456
904        BE30  308 Extrapolation       0 29.638360 24.541881 34.734840
905        BE30  322 Extrapolation       0 30.143891 24.832100 35.455683
906        BE30  336 Extrapolation       0 30.630393 25.098091 36.162696
907        BE30  350 Extrapolation       0 31.098582 25.340700 36.856464
908        BE30  364 Extrapolation       0 31.549146 25.560825 37.537467
909        BE30  378 Extrapolation       0 31.982751 25.759399 38.206103
910        BE30  392 Extrapolation       0 32.400033 25.937369 38.862696
911        BE30  406 Extrapolation       0 32.801608 26.095692 39.507523
912        BE30  420 Extrapolation       0 33.188066 26.235317 40.140815
913        BE30  434 Extrapolation       0 33.559977 26.357176 40.762778
914        BE30  448 Extrapolation       0 33.917889 26.462184 41.373594
915        BE30  462 Extrapolation       0 34.262327 26.551226 41.973429
916        BE30  476 Extrapolation       0 34.593801 26.625159 42.562442
917        BE30  490 Extrapolation       0 34.912796 26.684807 43.140786
918        BE30  504 Extrapolation       0 35.219784 26.730958 43.708611
919        BE30  518 Extrapolation       0 35.515216 26.764368 44.266065
920        BE30  532 Extrapolation       0 35.799528 26.785756 44.813299
921         BE4    1   Rarefaction       0  1.000000  1.000000  1.000000
922         BE4   23   Rarefaction       0 13.387594 12.784409 13.990778
923         BE4   46   Rarefaction       0 18.785704 17.733969 19.837438
924         BE4   69   Rarefaction       0 21.872317 20.560820 23.183815
925         BE4   92   Rarefaction       0 23.916708 22.425871 25.407545
926         BE4  115   Rarefaction       0 25.384883 23.743643 27.026122
927         BE4  138   Rarefaction       0 26.498154 24.711789 28.284519
928         BE4  161   Rarefaction       0 27.377436 25.441405 29.313467
929         BE4  184   Rarefaction       0 28.095194 26.001518 30.188871
930         BE4  207   Rarefaction       0 28.697752 26.437795 30.957710
931         BE4  230   Rarefaction       0 29.216086 26.781773 31.650399
932         BE4  253   Rarefaction       0 29.671586 27.055945 32.287228
933         BE4  276   Rarefaction       0 30.079407 27.276784 32.882030
934         BE4  299   Rarefaction       0 30.450540 27.456633 33.444446
935         BE4  322   Rarefaction       0 30.793173 27.604944 33.981402
936         BE4  345   Rarefaction       0 31.113604 27.729119 34.498089
937         BE4  368   Rarefaction       0 31.416859 27.835099 34.998619
938         BE4  391   Rarefaction       0 31.707107 27.927781 35.486434
939         BE4  414   Rarefaction       0 31.987952 28.011333 35.964571
940         BE4  415      Observed       0 32.000000 28.014816 35.985184
941         BE4  416 Extrapolation       0 32.012037 28.018290 36.005783
942         BE4  437 Extrapolation       0 32.262138 28.088903 36.435372
943         BE4  459 Extrapolation       0 32.518765 28.158424 36.879106
944         BE4  481 Extrapolation       0 32.769997 28.223781 37.316214
945         BE4  503 Extrapolation       0 33.015949 28.285319 37.746578
946         BE4  524 Extrapolation       0 33.245895 28.340771 38.151020
947         BE4  546 Extrapolation       0 33.481842 28.395671 38.568014
948         BE4  568 Extrapolation       0 33.712829 28.447534 38.978124
949         BE4  590 Extrapolation       0 33.938960 28.496571 39.381350
950         BE4  612 Extrapolation       0 34.160338 28.542971 39.777705
951         BE4  633 Extrapolation       0 34.367310 28.584962 40.149658
952         BE4  655 Extrapolation       0 34.579683 28.626696 40.532671
953         BE4  677 Extrapolation       0 34.787592 28.666264 40.908920
954         BE4  699 Extrapolation       0 34.991130 28.703803 41.278457
955         BE4  721 Extrapolation       0 35.190389 28.739438 41.641340
956         BE4  742 Extrapolation       0 35.376682 28.771784 41.981580
957         BE4  764 Extrapolation       0 35.567836 28.804028 42.331644
958         BE4  786 Extrapolation       0 35.754972 28.834691 42.675254
959         BE4  808 Extrapolation       0 35.938174 28.863867 43.012481
960         BE4  830 Extrapolation       0 36.117525 28.891644 43.343405
961         BE5    1   Rarefaction       0  1.000000  1.000000  1.000000
962         BE5   11   Rarefaction       0  4.931670  4.382917  5.480424
963         BE5   22   Rarefaction       0  7.721929  6.884860  8.558998
964         BE5   33   Rarefaction       0  9.731952  8.705212 10.758692
965         BE5   44   Rarefaction       0 11.206000 10.030802 12.381199
966         BE5   55   Rarefaction       0 12.308909 11.004973 13.612846
967         BE5   66   Rarefaction       0 13.152248 11.731153 14.573343
968         BE5   77   Rarefaction       0 13.812089 12.282435 15.341744
969         BE5   88   Rarefaction       0 14.340881 12.710091 15.971670
970         BE5   99   Rarefaction       0 14.775257 13.049995 16.500519
971         BE5  110   Rarefaction       0 15.141114 13.327184 16.955044
972         BE5  121   Rarefaction       0 15.456892 13.559021 17.354763
973         BE5  132   Rarefaction       0 15.735721 13.757371 17.714071
974         BE5  143   Rarefaction       0 15.986848 13.930118 18.043578
975         BE5  154   Rarefaction       0 16.216635 14.082250 18.351021
976         BE5  165   Rarefaction       0 16.429282 14.216668 18.641896
977         BE5  176   Rarefaction       0 16.627387 14.334816 18.919958
978         BE5  187   Rarefaction       0 16.812386 14.437161 19.187611
979         BE5  198   Rarefaction       0 16.984925 14.523587 19.446262
980         BE5  199      Observed       0 17.000000 14.530642 19.469358
981         BE5  200 Extrapolation       0 17.014975 14.537342 19.492607
982         BE5  210 Extrapolation       0 17.159320 14.596970 19.721670
983         BE5  220 Extrapolation       0 17.294296 14.643629 19.944962
984         BE5  231 Extrapolation       0 17.432672 14.680925 20.184418
985         BE5  241 Extrapolation       0 17.549904 14.703084 20.396724
986         BE5  252 Extrapolation       0 17.670089 14.715733 20.624444
987         BE5  262 Extrapolation       0 17.771910 14.717615 20.826204
988         BE5  272 Extrapolation       0 17.867121 14.711282 21.022961
989         BE5  283 Extrapolation       0 17.964731 14.695839 21.233624
990         BE5  293 Extrapolation       0 18.047426 14.674941 21.419912
991         BE5  304 Extrapolation       0 18.132205 14.645281 21.619129
992         BE5  314 Extrapolation       0 18.204029 14.612943 21.795114
993         BE5  325 Extrapolation       0 18.277662 14.572169 21.983155
994         BE5  335 Extrapolation       0 18.340044 14.530931 22.149158
995         BE5  345 Extrapolation       0 18.398377 14.486198 22.310556
996         BE5  356 Extrapolation       0 18.458180 14.433453 22.482906
997         BE5  366 Extrapolation       0 18.508844 14.382691 22.634997
998         BE5  377 Extrapolation       0 18.560785 14.324172 22.797398
999         BE5  387 Extrapolation       0 18.604789 14.268864 22.940714
1000        BE5  398 Extrapolation       0 18.649902 14.206040 23.093764
1001        BE6    1   Rarefaction       0  1.000000  1.000000  1.000000
1002        BE6   12   Rarefaction       0  6.975703  6.406864  7.544542
1003        BE6   23   Rarefaction       0 10.431183  9.462996 11.399370
1004        BE6   35   Rarefaction       0 13.070098 11.728222 14.411974
1005        BE6   46   Rarefaction       0 14.898257 13.256955 16.539560
1006        BE6   58   Rarefaction       0 16.496117 14.563999 18.428234
1007        BE6   69   Rarefaction       0 17.717360 15.544371 19.890349
1008        BE6   81   Rarefaction       0 18.863366 16.450456 21.276275
1009        BE6   92   Rarefaction       0 19.787112 17.172175 22.402049
1010        BE6  104   Rarefaction       0 20.688741 17.870471 23.507010
1011        BE6  115   Rarefaction       0 21.437318 18.446470 24.428166
1012        BE6  126   Rarefaction       0 22.124425 18.972549 25.276301
1013        BE6  138   Rarefaction       0 22.814778 19.498498 26.131058
1014        BE6  149   Rarefaction       0 23.401033 19.942579 26.859488
1015        BE6  161   Rarefaction       0 23.996785 20.390487 27.603083
1016        BE6  172   Rarefaction       0 24.508027 20.771034 28.245019
1017        BE6  184   Rarefaction       0 25.032957 21.156638 28.909277
1018        BE6  195   Rarefaction       0 25.488356 21.485547 29.491165
1019        BE6  207   Rarefaction       0 25.961538 21.820176 30.102901
1020        BE6  208      Observed       0 26.000000 21.847005 30.152995
1021        BE6  209 Extrapolation       0 26.038323 21.873677 30.202968
1022        BE6  219 Extrapolation       0 26.414022 22.131671 30.696373
1023        BE6  230 Extrapolation       0 26.811897 22.396957 31.226836
1024        BE6  241 Extrapolation       0 27.194253 22.642782 31.745725
1025        BE6  252 Extrapolation       0 27.561697 22.869332 32.254062
1026        BE6  263 Extrapolation       0 27.914810 23.077019 32.752601
1027        BE6  274 Extrapolation       0 28.254150 23.266426 33.241874
1028        BE6  285 Extrapolation       0 28.580256 23.438271 33.722241
1029        BE6  296 Extrapolation       0 28.893643 23.593360 34.193926
1030        BE6  307 Extrapolation       0 29.194807 23.732554 34.657059
1031        BE6  317 Extrapolation       0 29.458387 23.846052 35.070723
1032        BE6  328 Extrapolation       0 29.737525 23.957382 35.517668
1033        BE6  339 Extrapolation       0 30.005776 24.055410 35.956142
1034        BE6  350 Extrapolation       0 30.263565 24.141001 36.386128
1035        BE6  361 Extrapolation       0 30.511299 24.214986 36.807612
1036        BE6  372 Extrapolation       0 30.749371 24.278159 37.220583
1037        BE6  383 Extrapolation       0 30.978158 24.331275 37.625041
1038        BE6  394 Extrapolation       0 31.198021 24.375044 38.020999
1039        BE6  405 Extrapolation       0 31.409310 24.410133 38.408487
1040        BE6  416 Extrapolation       0 31.612358 24.437169 38.787546
1041        BE7    1   Rarefaction       0  1.000000  1.000000  1.000000
1042        BE7   30   Rarefaction       0  9.448944  8.786755 10.111133
1043        BE7   60   Rarefaction       0 13.036941 11.891708 14.182173
1044        BE7   90   Rarefaction       0 15.324703 13.773733 16.875674
1045        BE7  120   Rarefaction       0 17.052653 15.149943 18.955364
1046        BE7  150   Rarefaction       0 18.462129 16.245653 20.678605
1047        BE7  180   Rarefaction       0 19.662846 17.163706 22.161986
1048        BE7  210   Rarefaction       0 20.716161 17.961919 23.470404
1049        BE7  240   Rarefaction       0 21.660099 18.675439 24.644758
1050        BE7  270   Rarefaction       0 22.519277 19.325956 25.712598
1051        BE7  299   Rarefaction       0 23.284602 19.907421 26.661783
1052        BE7  329   Rarefaction       0 24.019588 20.467768 27.571408
1053        BE7  359   Rarefaction       0 24.704430 20.990974 28.417886
1054        BE7  389   Rarefaction       0 25.344558 21.479813 29.209303
1055        BE7  419   Rarefaction       0 25.943950 21.935828 29.952072
1056        BE7  449   Rarefaction       0 26.505614 22.359806 30.651421
1057        BE7  479   Rarefaction       0 27.031879 22.752048 31.311709
1058        BE7  509   Rarefaction       0 27.524583 23.112520 31.936646
1059        BE7  539   Rarefaction       0 27.985185 23.440923 32.529448
1060        BE7  540      Observed       0 28.000000 23.451311 32.548689
1061        BE7  541 Extrapolation       0 28.014781 23.461664 32.567897
1062        BE7  569 Extrapolation       0 28.415036 23.736993 33.093079
1063        BE7  597 Extrapolation       0 28.790155 23.984785 33.595525
1064        BE7  626 Extrapolation       0 29.153854 24.213416 34.094293
1065        BE7  654 Extrapolation       0 29.482575 24.408259 34.556890
1066        BE7  682 Extrapolation       0 29.790651 24.578885 35.002416
1067        BE7  711 Extrapolation       0 30.089348 24.731457 35.447240
1068        BE7  739 Extrapolation       0 30.359318 24.856830 35.861807
1069        BE7  767 Extrapolation       0 30.612334 24.962011 36.262657
1070        BE7  796 Extrapolation       0 30.857647 25.051087 36.664208
1071        BE7  824 Extrapolation       0 31.079367 25.119257 37.039477
1072        BE7  853 Extrapolation       0 31.294337 25.172749 37.415926
1073        BE7  881 Extrapolation       0 31.488633 25.209117 37.768149
1074        BE7  909 Extrapolation       0 31.670726 25.231631 38.109820
1075        BE7  938 Extrapolation       0 31.847276 25.241500 38.453051
1076        BE7  966 Extrapolation       0 32.006846 25.239093 38.774598
1077        BE7  994 Extrapolation       0 32.156394 25.225924 39.086865
1078        BE7 1023 Extrapolation       0 32.301391 25.201890 39.400891
1079        BE7 1051 Extrapolation       0 32.432442 25.169505 39.695379
1080        BE7 1080 Extrapolation       0 32.559503 25.127286 39.991720
1081        BE8    1   Rarefaction       0  1.000000  1.000000  1.000000
1082        BE8   13   Rarefaction       0  7.833924  7.239256  8.428593
1083        BE8   25   Rarefaction       0 11.798526 10.865811 12.731241
1084        BE8   37   Rarefaction       0 14.514179 13.342918 15.685439
1085        BE8   49   Rarefaction       0 16.470219 15.124535 17.815903
1086        BE8   61   Rarefaction       0 17.932717 16.451907 19.413527
1087        BE8   73   Rarefaction       0 19.059251 17.465515 20.652986
1088        BE8   85   Rarefaction       0 19.948935 18.254417 21.643453
1089        BE8   97   Rarefaction       0 20.667021 18.878731 22.455311
1090        BE8  109   Rarefaction       0 21.257979 19.380724 23.135233
1091        BE8  121   Rarefaction       0 21.752904 19.790776 23.715031
1092        BE8  133   Rarefaction       0 22.173931 20.130894 24.216968
1093        BE8  145   Rarefaction       0 22.537003 20.416995 24.657011
1094        BE8  157   Rarefaction       0 22.853691 20.660488 25.046893
1095        BE8  169   Rarefaction       0 23.132453 20.869433 25.395474
1096        BE8  181   Rarefaction       0 23.379539 21.049412 25.709666
1097        BE8  193   Rarefaction       0 23.599636 21.204187 25.995084
1098        BE8  205   Rarefaction       0 23.796339 21.336188 26.256490
1099        BE8  218   Rarefaction       0 23.986301 21.455157 26.517446
1100        BE8  219      Observed       0 24.000000 21.463302 26.536698
1101        BE8  220 Extrapolation       0 24.013574 21.471308 26.555840
1102        BE8  231 Extrapolation       0 24.154987 21.550453 26.759520
1103        BE8  242 Extrapolation       0 24.282883 21.614243 26.951524
1104        BE8  254 Extrapolation       0 24.408507 21.667888 27.149126
1105        BE8  265 Extrapolation       0 24.512173 21.703798 27.320549
1106        BE8  277 Extrapolation       0 24.613997 21.729931 27.498063
1107        BE8  288 Extrapolation       0 24.698023 21.743125 27.652921
1108        BE8  300 Extrapolation       0 24.780556 21.747033 27.814079
1109        BE8  311 Extrapolation       0 24.848663 21.742040 27.955287
1110        BE8  323 Extrapolation       0 24.915560 21.728316 28.102804
1111        BE8  334 Extrapolation       0 24.970764 21.709031 28.232497
1112        BE8  346 Extrapolation       0 25.024987 21.681586 28.368387
1113        BE8  357 Extrapolation       0 25.069732 21.651295 28.488169
1114        BE8  369 Extrapolation       0 25.113682 21.613403 28.613962
1115        BE8  380 Extrapolation       0 25.149951 21.574832 28.725069
1116        BE8  392 Extrapolation       0 25.185574 21.529186 28.841962
1117        BE8  403 Extrapolation       0 25.214971 21.484567 28.945375
1118        BE8  415 Extrapolation       0 25.243846 21.433360 29.054331
1119        BE8  426 Extrapolation       0 25.267673 21.384497 29.150850
1120        BE8  438 Extrapolation       0 25.291078 21.329492 29.252663
1121        BE9    1   Rarefaction       0  1.000000  1.000000  1.000000
1122        BE9   18   Rarefaction       0 11.347815 10.807864 11.887767
1123        BE9   35   Rarefaction       0 16.420869 15.440112 17.401627
1124        BE9   52   Rarefaction       0 19.580958 18.243035 20.918881
1125        BE9   69   Rarefaction       0 21.812284 20.168291 23.456277
1126        BE9   86   Rarefaction       0 23.518079 21.599897 25.436261
1127        BE9  103   Rarefaction       0 24.890987 22.718499 27.063474
1128        BE9  120   Rarefaction       0 26.034800 23.621249 28.448352
1129        BE9  137   Rarefaction       0 27.011773 24.367164 29.656382
1130        BE9  155   Rarefaction       0 27.909687 25.029863 30.789511
1131        BE9  172   Rarefaction       0 28.658911 25.565413 31.752410
1132        BE9  189   Rarefaction       0 29.333755 26.034728 32.632782
1133        BE9  206   Rarefaction       0 29.950244 26.453771 33.446717
1134        BE9  223   Rarefaction       0 30.520680 26.834651 34.206709
1135        BE9  240   Rarefaction       0 31.054533 27.186441 34.922625
1136        BE9  257   Rarefaction       0 31.559108 27.515812 35.602404
1137        BE9  274   Rarefaction       0 32.040079 27.827560 36.252599
1138        BE9  291   Rarefaction       0 32.501933 28.125059 36.878807
1139        BE9  309   Rarefaction       0 32.974194 28.427129 37.521258
1140        BE9  310      Observed       0 33.000000 28.443562 37.556438
1141        BE9  311 Extrapolation       0 33.025765 28.459960 37.591570
1142        BE9  327 Extrapolation       0 33.432386 28.717429 38.147342
1143        BE9  343 Extrapolation       0 33.828623 28.965516 38.691729
1144        BE9  359 Extrapolation       0 34.214741 29.203996 39.225485
1145        BE9  376 Extrapolation       0 34.614193 29.446673 39.781713
1146        BE9  392 Extrapolation       0 34.980249 29.664895 40.295604
1147        BE9  408 Extrapolation       0 35.336958 29.873213 40.800703
1148        BE9  424 Extrapolation       0 35.684557 30.071659 41.297456
1149        BE9  441 Extrapolation       0 36.044160 30.271785 41.816536
1150        BE9  457 Extrapolation       0 36.373700 30.450189 42.297211
1151        BE9  473 Extrapolation       0 36.694823 30.619124 42.770523
1152        BE9  489 Extrapolation       0 37.007746 30.778802 43.236690
1153        BE9  506 Extrapolation       0 37.331476 30.938584 43.724367
1154        BE9  522 Extrapolation       0 37.628140 31.079947 44.176334
1155        BE9  538 Extrapolation       0 37.917229 31.212846 44.621612
1156        BE9  554 Extrapolation       0 38.198935 31.337569 45.060301
1157        BE9  571 Extrapolation       0 38.490369 31.461462 45.519277
1158        BE9  587 Extrapolation       0 38.757439 31.570262 45.944616
1159        BE9  603 Extrapolation       0 39.017688 31.671802 46.363575
1160        BE9  620 Extrapolation       0 39.286925 31.772065 46.801785
             SC     SC.LCL     SC.UCL
1    0.39408233 0.32664741 0.46151726
2    0.81624211 0.79293211 0.83955211
3    0.89466850 0.87634613 0.91299087
4    0.92783458 0.91117639 0.94449277
5    0.94612194 0.93095140 0.96129248
6    0.95625438 0.94248404 0.97002471
7    0.96206318 0.94941817 0.97470819
8    0.96623309 0.95454882 0.97791736
9    0.96906748 0.95806724 0.98006771
10   0.97146996 0.96101962 0.98192030
11   0.97349012 0.96344658 0.98353366
12   0.97516349 0.96540247 0.98492451
13   0.97680512 0.96726502 0.98634522
14   0.97823491 0.96883587 0.98763395
15   0.97968357 0.97037044 0.98899670
16   0.98106612 0.97177050 0.99036175
17   0.98231255 0.97296783 0.99165727
18   0.98361695 0.97414412 0.99308977
19   0.98490566 0.97522075 0.99459057
20   0.98499094 0.97528995 0.99469193
21   0.98507574 0.97535913 0.99479234
22   0.98613547 0.97625716 0.99601378
23   0.98719272 0.97721866 0.99716679
24   0.98816936 0.97816542 0.99817329
25   0.98907151 0.97908801 0.99905502
26   0.98990488 0.97997918 0.99983058
27   0.99067469 0.98083415 1.00000000
28   0.99138580 0.98165022 1.00000000
29   0.99204269 0.98242626 1.00000000
30   0.99264948 0.98316223 1.00000000
31   0.99317142 0.98381038 1.00000000
32   0.99369214 0.98447157 1.00000000
33   0.99417315 0.98509606 1.00000000
34   0.99461749 0.98568559 1.00000000
35   0.99502793 0.98624194 1.00000000
36   0.99540708 0.98676697 1.00000000
37   0.99575732 0.98726249 1.00000000
38   0.99608085 0.98773029 1.00000000
39   0.99637971 0.98817208 1.00000000
40   0.99665578 0.98858950 1.00000000
41   0.11437151 0.09749170 0.13125131
42   0.71404958 0.68975997 0.73833919
43   0.83540700 0.81835631 0.85245768
44   0.89049748 0.87721339 0.90378157
45   0.91979580 0.90835621 0.93123540
46   0.93844882 0.92816072 0.94873693
47   0.95154502 0.94204578 0.96104427
48   0.96032455 0.95134432 0.96930478
49   0.96693307 0.95835206 0.97551407
50   0.97160537 0.96332669 0.97988404
51   0.97513590 0.96710895 0.98316285
52   0.97793683 0.97013143 0.98574222
53   0.97999182 0.97236235 0.98762129
54   0.98164233 0.97415592 0.98912874
55   0.98286542 0.97547218 0.99025866
56   0.98382524 0.97647650 0.99117398
57   0.98462189 0.97726241 0.99198137
58   0.98524932 0.97782101 0.99267764
59   0.98581560 0.97825166 0.99337954
60   0.98583798 0.97826785 0.99340810
61   0.98586031 0.97828397 0.99343665
62   0.98634292 0.97862663 0.99405922
63   0.98680906 0.97895227 0.99466586
64   0.98725929 0.97926782 0.99525076
65   0.98769415 0.97957796 0.99581034
66   0.98813292 0.97989974 0.99636609
67   0.98853796 0.98020713 0.99686879
68   0.98892918 0.98051519 0.99734317
69   0.98930704 0.98082442 0.99778967
70   0.98967201 0.98113492 0.99820911
71   0.99004026 0.98146073 0.99861978
72   0.99038020 0.98177320 0.99898720
73   0.99070854 0.98208605 0.99933103
74   0.99102567 0.98239881 0.99965253
75   0.99133198 0.98271099 0.99995297
76   0.99164104 0.98303621 1.00000000
77   0.99192634 0.98334571 1.00000000
78   0.99220191 0.98365320 1.00000000
79   0.99246807 0.98395826 1.00000000
80   0.99273662 0.98427419 1.00000000
81   0.11947921 0.09114177 0.14781664
82   0.63117814 0.58511641 0.67723986
83   0.77676632 0.74678728 0.80674537
84   0.83948694 0.81835662 0.86061727
85   0.87978514 0.86429653 0.89527375
86   0.90448127 0.89209544 0.91686709
87   0.92414755 0.91365946 0.93463564
88   0.93794571 0.92820897 0.94768245
89   0.94978668 0.94019929 0.95937406
90   0.95842030 0.94865817 0.96818243
91   0.96594844 0.95585806 0.97603883
92   0.97145821 0.96101996 0.98189647
93   0.97625071 0.96540835 0.98709308
94   0.97974725 0.96851218 0.99098232
95   0.98279641 0.97110198 0.99449084
96   0.98505791 0.97290905 0.99720678
97   0.98711297 0.97442940 0.99979654
98   0.98875698 0.97554694 1.00000000
99   0.99043062 0.97660519 1.00000000
100  0.99056668 0.97674015 1.00000000
101  0.99070080 0.97687374 1.00000000
102  0.99194150 0.97814456 1.00000000
103  0.99311595 0.97942741 1.00000000
104  0.99411924 0.98060523 1.00000000
105  0.99497630 0.98168519 1.00000000
106  0.99570846 0.98267288 1.00000000
107  0.99633391 0.98357432 1.00000000
108  0.99686821 0.98439614 1.00000000
109  0.99732464 0.98514531 1.00000000
110  0.99771455 0.98582877 1.00000000
111  0.99804763 0.98645324 1.00000000
112  0.99833217 0.98702500 1.00000000
113  0.99857524 0.98754984 1.00000000
114  0.99878289 0.98803299 1.00000000
115  0.99896027 0.98847915 1.00000000
116  0.99911180 0.98889248 1.00000000
117  0.99924125 0.98927667 1.00000000
118  0.99935183 0.98963496 1.00000000
119  0.99944629 0.98997018 1.00000000
120  0.99952699 0.99028481 1.00000000
121  0.05300481 0.04594798 0.06006164
122  0.58115978 0.54577225 0.61654732
123  0.75773938 0.72779031 0.78768845
124  0.83515805 0.81048897 0.85982713
125  0.87190831 0.85062550 0.89319113
126  0.89330282 0.87411954 0.91248611
127  0.90762563 0.88980740 0.92544386
128  0.91701137 0.90002651 0.93399623
129  0.92445702 0.90806165 0.94085238
130  0.93012965 0.91410618 0.94615311
131  0.93495832 0.91916779 0.95074886
132  0.93943469 0.92376386 0.95510552
133  0.94324420 0.92758196 0.95890644
134  0.94690765 0.93115593 0.96265936
135  0.95009555 0.93417562 0.96601549
136  0.95304544 0.93688496 0.96920593
137  0.95593049 0.93944604 0.97241495
138  0.95846879 0.94161721 0.97532036
139  0.96096096 0.94366201 0.97825991
140  0.96108718 0.94376329 0.97841108
141  0.96121300 0.94386428 0.97856172
142  0.96329068 0.94554136 0.98104000
143  0.96525706 0.94715496 0.98335916
144  0.96722443 0.94880756 0.98564130
145  0.96898010 0.95032318 0.98763701
146  0.97073664 0.95188505 0.98958824
147  0.97230417 0.95332217 0.99128618
148  0.97387249 0.95480509 0.99293989
149  0.97527204 0.95616968 0.99437441
150  0.97667230 0.95757677 0.99576783
151  0.97792188 0.95887006 0.99697370
152  0.97917208 0.96020170 0.99814247
153  0.98028776 0.96142374 0.99915178
154  0.98140399 0.96268003 1.00000000
155  0.98240011 0.96383113 1.00000000
156  0.98339673 0.96501271 1.00000000
157  0.98428611 0.96609383 1.00000000
158  0.98517593 0.96720215 1.00000000
159  0.98597000 0.96821501 1.00000000
160  0.98676447 0.96925221 1.00000000
161  0.05725589 0.04833726 0.06617453
162  0.57652839 0.54386036 0.60919642
163  0.74386529 0.71447929 0.77325130
164  0.81844951 0.79146384 0.84543518
165  0.85726199 0.83233154 0.88219244
166  0.88286083 0.85994906 0.90577259
167  0.90032027 0.87920464 0.92143590
168  0.91248100 0.89280985 0.93215214
169  0.92225218 0.90381404 0.94069033
170  0.92985846 0.91237485 0.94734206
171  0.93563297 0.91882250 0.95244344
172  0.94058412 0.92426265 0.95690559
173  0.94467832 0.92864610 0.96071055
174  0.94798360 0.93206299 0.96390421
175  0.95101639 0.93506241 0.96697037
176  0.95372344 0.93759993 0.96984694
177  0.95608651 0.93968957 0.97248345
178  0.95842760 0.94163463 0.97522057
179  0.96067416 0.94337969 0.97796863
180  0.96078462 0.94346283 0.97810642
181  0.96089478 0.94354588 0.97824368
182  0.96282550 0.94502915 0.98062185
183  0.96476016 0.94657617 0.98294416
184  0.96659414 0.94810536 0.98508293
185  0.96824347 0.94953467 0.98695227
186  0.96989617 0.95101841 0.98877392
187  0.97146286 0.95247192 0.99045379
188  0.97287180 0.95381741 0.99192620
189  0.97428363 0.95520139 0.99336587
190  0.97562198 0.95654595 0.99469801
191  0.97682558 0.95778205 0.99586911
192  0.97803164 0.95904628 0.99701701
193  0.97917494 0.96026861 0.99808127
194  0.98020312 0.96138811 0.99901814
195  0.98123341 0.96252964 0.99993717
196  0.98221007 0.96363064 1.00000000
197  0.98308841 0.96463715 1.00000000
198  0.98396853 0.96566198 1.00000000
199  0.98480285 0.96664932 1.00000000
200  0.98559375 0.96760036 1.00000000
201  0.03682835 0.02795934 0.04569736
202  0.27403259 0.23064484 0.31742034
203  0.45201076 0.40265714 0.50136437
204  0.55989982 0.51242240 0.60737725
205  0.64541219 0.60119034 0.68963403
206  0.70632991 0.66491934 0.74774049
207  0.74681793 0.70742269 0.78621317
208  0.78188501 0.74439979 0.81937023
209  0.80642380 0.77044732 0.84240027
210  0.82864398 0.79421160 0.86307637
211  0.84663367 0.81357322 0.87969412
212  0.85993318 0.82790798 0.89195838
213  0.87255114 0.84142498 0.90367730
214  0.88211067 0.85149752 0.91272382
215  0.89137544 0.86096614 0.92178473
216  0.89936198 0.86871917 0.93000479
217  0.90558183 0.87434026 0.93682340
218  0.91175740 0.87938705 0.94412775
219  0.91719745 0.88320870 0.95118621
220  0.91776515 0.88357313 0.95195716
221  0.91832895 0.88393478 0.95272313
222  0.92270243 0.88674844 0.95865643
223  0.92684171 0.88946671 0.96421671
224  0.93075933 0.89212936 0.96938931
225  0.93446717 0.89475535 0.97417899
226  0.93840168 0.89767437 0.97912899
227  0.94170027 0.90023816 0.98316238
228  0.94482222 0.90276975 0.98687468
229  0.94777698 0.90526467 0.99028930
230  0.95057352 0.90771800 0.99342904
231  0.95354103 0.91042241 0.99665965
232  0.95602890 0.91277219 0.99928562
233  0.95838355 0.91506723 1.00000000
234  0.96061211 0.91730457 1.00000000
235  0.96272133 0.91948190 1.00000000
236  0.96495950 0.92185755 1.00000000
237  0.96683592 0.92390237 1.00000000
238  0.96861185 0.92588362 1.00000000
239  0.97029268 0.92780115 1.00000000
240  0.97207628 0.92988247 1.00000000
241  0.13215078 0.11018033 0.15412124
242  0.72643572 0.70364577 0.74922567
243  0.83848639 0.82135352 0.85561927
244  0.89160836 0.87818475 0.90503198
245  0.92214179 0.91113658 0.93314701
246  0.94216735 0.93259777 0.95173693
247  0.95478907 0.94602261 0.96355554
248  0.96365660 0.95545651 0.97185668
249  0.97009658 0.96235871 0.97783446
250  0.97511102 0.96779312 0.98242891
251  0.97870991 0.97173094 0.98568887
252  0.98150301 0.97479440 0.98821161
253  0.98371261 0.97719568 0.99022954
254  0.98549713 0.97908869 0.99190557
255  0.98704331 0.98066222 0.99342441
256  0.98828703 0.98185807 0.99471600
257  0.98938008 0.98284181 0.99591836
258  0.99037796 0.98367740 0.99707853
259  0.99137931 0.98445429 0.99830433
260  0.99142871 0.98449343 0.99836400
261  0.99147783 0.98453253 0.99842313
262  0.99231537 0.98523116 0.99939958
263  0.99307060 0.98591462 1.00000000
264  0.99375160 0.98657385 1.00000000
265  0.99439797 0.98723602 1.00000000
266  0.99494852 0.98782775 1.00000000
267  0.99544497 0.98838371 1.00000000
268  0.99589263 0.98890435 1.00000000
269  0.99631751 0.98941709 1.00000000
270  0.99667942 0.98986983 1.00000000
271  0.99700576 0.99029252 1.00000000
272  0.99730003 0.99068722 1.00000000
273  0.99757932 0.99107572 1.00000000
274  0.99781722 0.99141919 1.00000000
275  0.99803174 0.99174062 1.00000000
276  0.99822518 0.99204172 1.00000000
277  0.99840877 0.99233928 1.00000000
278  0.99856516 0.99260352 1.00000000
279  0.99870617 0.99285199 1.00000000
280  0.99884001 0.99309853 1.00000000
281  0.05198749 0.04306587 0.06090911
282  0.43754019 0.39878561 0.47629476
283  0.63897359 0.60794298 0.67000421
284  0.73718182 0.71361298 0.76075066
285  0.80193859 0.78319120 0.82068597
286  0.84173097 0.82529341 0.85816852
287  0.87343395 0.85841855 0.88844935
288  0.89585196 0.88173609 0.90996784
289  0.91544932 0.90213277 0.92876587
290  0.93016543 0.91747905 0.94285181
291  0.94351930 0.93142425 0.95561436
292  0.95379194 0.94215428 0.96542961
293  0.96326122 0.95203122 0.97449122
294  0.97062393 0.95968086 0.98156700
295  0.97745852 0.96672321 0.98819383
296  0.98279492 0.97213679 0.99345305
297  0.98775628 0.97703262 0.99847994
298  0.99162708 0.98067859 1.00000000
299  0.99521531 0.98380985 1.00000000
300  0.99547629 0.98404002 1.00000000
301  0.99572304 0.98425641 1.00000000
302  0.99755915 0.98582822 1.00000000
303  0.99868299 0.98676794 1.00000000
304  0.99928938 0.98730141 1.00000000
305  0.99961657 0.98764816 1.00000000
306  0.99979311 0.98791579 1.00000000
307  0.99988837 0.98815539 1.00000000
308  0.99993977 0.98838976 1.00000000
309  0.99996750 0.98862775 1.00000000
310  0.99998246 0.98887162 1.00000000
311  0.99999054 0.98912069 1.00000000
312  0.99999489 0.98937319 1.00000000
313  0.99999725 0.98962712 1.00000000
314  0.99999851 0.98988061 1.00000000
315  0.99999920 0.99013211 1.00000000
316  0.99999957 0.99038034 1.00000000
317  0.99999977 0.99062436 1.00000000
318  0.99999987 0.99086343 1.00000000
319  0.99999993 0.99109706 1.00000000
320  0.99999996 0.99132490 1.00000000
321  0.09209698 0.07485576 0.10933819
322  0.62912716 0.59689624 0.66135808
323  0.75093741 0.72351013 0.77836469
324  0.81475665 0.79089217 0.83862113
325  0.85078840 0.82937569 0.87220110
326  0.87581479 0.85616178 0.89546781
327  0.89282127 0.87435365 0.91128888
328  0.90629083 0.88876476 0.92381691
329  0.91631971 0.89950209 0.93313734
330  0.92476065 0.90853676 0.94098454
331  0.93130596 0.91552358 0.94708834
332  0.93671757 0.92126433 0.95217080
333  0.94142393 0.92620037 0.95664749
334  0.94514889 0.93003679 0.96026099
335  0.94840708 0.93330187 0.96351230
336  0.95099661 0.93579493 0.96619829
337  0.95327517 0.93786569 0.96868466
338  0.95510772 0.93940019 0.97081525
339  0.95675676 0.94063227 0.97288124
340  0.95682988 0.94068316 0.97297659
341  0.95690287 0.94073395 0.97307180
342  0.95826659 0.94168383 0.97484935
343  0.95958716 0.94261429 0.97656003
344  0.96093211 0.94358317 0.97828105
345  0.96216833 0.94449939 0.97983727
346  0.96342738 0.94546263 0.98139212
347  0.96458464 0.94637780 0.98279149
348  0.96570529 0.94729311 0.98411746
349  0.96684662 0.94825610 0.98543715
350  0.96789569 0.94916942 0.98662197
351  0.96896413 0.95012784 0.98780042
352  0.96994620 0.95103418 0.98885822
353  0.97094640 0.95198239 0.98991041
354  0.97186574 0.95287633 0.99085514
355  0.97275599 0.95376242 0.99174956
356  0.97366268 0.95468547 0.99263988
357  0.97449607 0.95555219 0.99343994
358  0.97534484 0.95645285 0.99423684
359  0.97612500 0.95729661 0.99495340
360  0.97691957 0.95817156 0.99566758
361  0.09812942 0.07524002 0.12101882
362  0.62136871 0.58941444 0.65332297
363  0.74983973 0.72279472 0.77688473
364  0.81750917 0.79462841 0.84038994
365  0.86006567 0.84068798 0.87944335
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783  0.97992058 0.96582210 0.99401905
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785  0.98192319 0.96736183 0.99648455
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788  0.98455893 0.96977487 0.99934299
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801  0.10471721 0.08630347 0.12313094
802  0.63849131 0.60819061 0.66879200
803  0.78373276 0.75905243 0.80841310
804  0.86120265 0.84109199 0.88131331
805  0.90181050 0.88527670 0.91834430
806  0.92664941 0.91257831 0.94072051
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811  0.97292530 0.96256964 0.98328096
812  0.97688041 0.96653364 0.98722719
813  0.97991799 0.96952029 0.99031568
814  0.98268381 0.97219773 0.99316989
815  0.98489608 0.97430781 0.99548436
816  0.98684432 0.97613360 0.99755504
817  0.98870945 0.97783443 0.99958448
818  0.99026362 0.97919224 1.00000000
819  0.99176955 0.98042245 1.00000000
820  0.99187033 0.98053026 1.00000000
821  0.99196988 0.98063719 1.00000000
822  0.99307350 0.98186157 1.00000000
823  0.99409861 0.98308433 1.00000000
824  0.99497200 0.98420874 1.00000000
825  0.99566303 0.98516152 1.00000000
826  0.99630489 0.98610438 1.00000000
827  0.99685176 0.98695930 1.00000000
828  0.99731769 0.98773290 1.00000000
829  0.99768634 0.98838116 1.00000000
830  0.99802876 0.98901921 1.00000000
831  0.99832050 0.98959754 1.00000000
832  0.99856906 0.99012298 1.00000000
833  0.99876572 0.99056644 1.00000000
834  0.99894839 0.99100708 1.00000000
835  0.99910403 0.99141120 1.00000000
836  0.99923663 0.99178318 1.00000000
837  0.99934154 0.99210134 1.00000000
838  0.99943899 0.99242186 1.00000000
839  0.99952202 0.99272009 1.00000000
840  0.99959276 0.99299856 1.00000000
841  0.04497226 0.03665563 0.05328888
842  0.48867664 0.44448174 0.53287154
843  0.67624350 0.64068797 0.71179902
844  0.77350766 0.74568031 0.80133501
845  0.83240495 0.80976607 0.85504382
846  0.87322658 0.85420241 0.89225075
847  0.89936904 0.88248345 0.91625464
848  0.91784322 0.90224956 0.93343689
849  0.93118732 0.91632634 0.94604831
850  0.94158890 0.92712320 0.95605461
851  0.94897039 0.93465814 0.96328264
852  0.95475164 0.94046645 0.96903682
853  0.95940849 0.94507463 0.97374235
854  0.96325861 0.94883099 0.97768623
855  0.96670337 0.95214677 0.98125997
856  0.96948973 0.95479337 0.98418610
857  0.97193655 0.95708386 0.98678925
858  0.97411467 0.95908335 0.98914598
859  0.97619048 0.96093125 0.99144970
860  0.97630600 0.96103379 0.99157822
861  0.97642096 0.96113590 0.99170602
862  0.97807997 0.96262201 0.99353794
863  0.97962226 0.96403444 0.99521007
864  0.98114794 0.96547227 0.99682361
865  0.98247436 0.96676206 0.99818667
866  0.98378651 0.96807952 0.99949350
867  0.98492728 0.96926197 1.00000000
868  0.98598779 0.97039480 1.00000000
869  0.98703689 0.97154971 1.00000000
870  0.98794897 0.97258351 1.00000000
871  0.98885123 0.97363542 1.00000000
872  0.98963565 0.97457532 1.00000000
873  0.99041163 0.97553017 1.00000000
874  0.99108626 0.97638221 1.00000000
875  0.99171343 0.97719412 1.00000000
876  0.99233385 0.97801776 1.00000000
877  0.99287323 0.97875193 1.00000000
878  0.99340682 0.97949643 1.00000000
879  0.99387071 0.98015991 1.00000000
880  0.99432961 0.98083273 1.00000000
881  0.13675699 0.10941746 0.16409651
882  0.69084742 0.65688517 0.72480966
883  0.81206001 0.78628161 0.83783841
884  0.86776594 0.84440663 0.89112524
885  0.89591358 0.87401094 0.91781622
886  0.91348927 0.89301688 0.93396166
887  0.92418871 0.90494780 0.94342963
888  0.93076971 0.91244083 0.94909859
889  0.93575362 0.91815402 0.95335322
890  0.93949814 0.92241004 0.95658624
891  0.94233594 0.92556741 0.95910447
892  0.94495353 0.92839264 0.96151442
893  0.94729956 0.93083180 0.96376732
894  0.94932979 0.93285897 0.96580062
895  0.95138528 0.93482087 0.96794969
896  0.95334522 0.93659408 0.97009637
897  0.95510128 0.93808878 0.97211379
898  0.95691039 0.93951956 0.97430121
899  0.95864662 0.94077017 0.97652306
900  0.95875980 0.94084759 0.97667200
901  0.95887267 0.94092478 0.97682056
902  0.96031218 0.94190956 0.97871481
903  0.96180613 0.94294071 0.98067156
904  0.96324385 0.94395139 0.98253631
905  0.96462744 0.94494784 0.98430705
906  0.96595896 0.94593363 0.98598428
907  0.96724035 0.94691056 0.98757013
908  0.96847351 0.94787930 0.98906771
909  0.96966024 0.94883981 0.99048068
910  0.97080231 0.94979162 0.99181300
911  0.97190138 0.95073404 0.99306873
912  0.97295909 0.95166626 0.99425192
913  0.97397698 0.95258742 0.99536653
914  0.97495655 0.95349671 0.99641639
915  0.97589925 0.95439335 0.99740515
916  0.97680646 0.95527664 0.99833629
917  0.97767953 0.95614595 0.99921311
918  0.97851973 0.95700073 1.00000000
919  0.97932830 0.95784054 1.00000000
920  0.98010643 0.95866499 1.00000000
921  0.06215005 0.05421402 0.07008607
922  0.67668557 0.64935716 0.70401399
923  0.83245344 0.81516819 0.84973868
924  0.89425700 0.88113399 0.90738001
925  0.92632696 0.91455447 0.93809945
926  0.94533766 0.93404010 0.95663521
927  0.95755552 0.94653096 0.96858008
928  0.96584105 0.95502906 0.97665304
929  0.97167392 0.96103235 0.98231549
930  0.97589497 0.96538781 0.98640213
931  0.97901707 0.96861841 0.98941573
932  0.98136907 0.97106353 0.99167460
933  0.98316847 0.97294793 0.99338902
934  0.98456145 0.97442063 0.99470228
935  0.98564665 0.97557960 0.99571371
936  0.98649055 0.97648842 0.99649268
937  0.98713778 0.97718798 0.99708759
938  0.98761825 0.97770440 0.99753211
939  0.98795181 0.97805390 0.99784971
940  0.98796344 0.97806570 0.99786117
941  0.98797506 0.97807753 0.99787258
942  0.98821647 0.97833381 0.99809912
943  0.98846418 0.97861885 0.99830950
944  0.98870668 0.97891873 0.99849463
945  0.98894408 0.97923001 0.99865815
946  0.98916604 0.97953476 0.99879732
947  0.98939379 0.97985937 0.99892821
948  0.98961675 0.98018735 0.99904614
949  0.98983502 0.98051708 0.99915296
950  0.99004871 0.98084730 0.99925011
951  0.99024849 0.98116209 0.99933488
952  0.99045348 0.98149070 0.99941626
953  0.99065416 0.98181752 0.99949080
954  0.99085063 0.98214207 0.99955919
955  0.99104296 0.98246393 0.99962200
956  0.99122278 0.98276835 0.99967722
957  0.99140729 0.98308405 0.99973054
958  0.99158793 0.98339621 0.99977964
959  0.99176476 0.98370465 0.99982488
960  0.99193788 0.98400918 0.99986659
961  0.35175879 0.27605319 0.42746440
962  0.70561264 0.66971837 0.74150690
963  0.78940774 0.76292188 0.81589359
964  0.84680123 0.82365192 0.86995055
965  0.88639405 0.86529998 0.90748812
966  0.91396162 0.89458242 0.93334081
967  0.93336108 0.91551043 0.95121174
968  0.94715818 0.93064193 0.96367444
969  0.95706396 0.94165491 0.97247300
970  0.96423172 0.94967764 0.97878579
971  0.96945380 0.95549322 0.98341437
972  0.97328841 0.95966826 0.98690856
973  0.97613936 0.96263136 0.98964736
974  0.97830520 0.96471770 0.99189269
975  0.98000924 0.96619208 0.99382641
976  0.98141829 0.96726058 0.99557600
977  0.98265471 0.96807771 0.99723171
978  0.98380479 0.96875211 0.99885746
979  0.98492462 0.96935188 1.00000000
980  0.98502546 0.96919769 1.00000000
981  0.98512563 0.96929438 1.00000000
982  0.98609115 0.97026052 1.00000000
983  0.98699399 0.97122714 1.00000000
984  0.98791959 0.97228458 1.00000000
985  0.98870375 0.97323197 1.00000000
986  0.98950766 0.97425030 1.00000000
987  0.99018874 0.97514891 1.00000000
988  0.99082560 0.97601819 1.00000000
989  0.99147851 0.97693811 1.00000000
990  0.99203166 0.97774037 1.00000000
991  0.99259874 0.97858515 1.00000000
992  0.99307917 0.97931919 1.00000000
993  0.99357170 0.98009016 1.00000000
994  0.99398897 0.98075891 1.00000000
995  0.99437916 0.98139819 1.00000000
996  0.99477917 0.98206876 1.00000000
997  0.99511806 0.98265003 1.00000000
998  0.99546549 0.98325980 1.00000000
999  0.99575984 0.98378851 1.00000000
1000 0.99606159 0.98434339 1.00000000
1001 0.16285767 0.12003436 0.20568098
1002 0.62516048 0.57971284 0.67060811
1003 0.74446809 0.70438564 0.78455054
1004 0.81486415 0.77943143 0.85029686
1005 0.85340245 0.82129022 0.88551468
1006 0.88068497 0.85143716 0.90993277
1007 0.89790082 0.87076835 0.92503328
1008 0.91153339 0.88629724 0.93676953
1009 0.92098749 0.89719434 0.94478064
1010 0.92910660 0.90660831 0.95160489
1011 0.93515474 0.91359912 0.95671037
1012 0.94024272 0.91939979 0.96108564
1013 0.94496635 0.92464640 0.96528629
1014 0.94869526 0.92863548 0.96875503
1015 0.95221972 0.93222715 0.97221228
1016 0.95501693 0.93491027 0.97512358
1017 0.95764300 0.93724518 0.97804083
1018 0.95968731 0.93888875 0.98048587
1019 0.96153846 0.94017272 0.98290421
1020 0.96167731 0.94025987 0.98309475
1021 0.96181566 0.94034702 0.98328431
1022 0.96317198 0.94122202 0.98512193
1023 0.96460835 0.94220321 0.98701348
1024 0.96598870 0.94321259 0.98876480
1025 0.96731521 0.94425177 0.99037865
1026 0.96858998 0.94531827 0.99186170
1027 0.96981504 0.94640757 0.99322250
1028 0.97099232 0.94751434 0.99447029
1029 0.97212368 0.94863308 0.99561427
1030 0.97321091 0.94975852 0.99666330
1031 0.97416246 0.95078340 0.99754153
1032 0.97517018 0.95190867 0.99843169
1033 0.97613860 0.95302806 0.99924914
1034 0.97706924 0.95413827 1.00000000
1035 0.97796359 0.95523649 1.00000000
1036 0.97882306 0.95632038 1.00000000
1037 0.97964900 0.95738799 1.00000000
1038 0.98044273 0.95843773 1.00000000
1039 0.98120551 0.95946832 1.00000000
1040 0.98193853 0.96047875 1.00000000
1041 0.28952106 0.25083973 0.32820239
1042 0.83973690 0.81861030 0.86086351
1043 0.90966913 0.89280624 0.92653202
1044 0.93536280 0.92111431 0.94961129
1045 0.94870255 0.93615859 0.96124651
1046 0.95704294 0.94582494 0.96826093
1047 0.96277406 0.95265866 0.97288946
1048 0.96693917 0.95773664 0.97614171
1049 0.97010412 0.96163252 0.97857572
1050 0.97261278 0.96469866 0.98052690
1051 0.97461947 0.96709340 0.98214555
1052 0.97639921 0.96913883 0.98365959
1053 0.97796738 0.97085832 0.98507644
1054 0.97938288 0.97233409 0.98643167
1055 0.98068457 0.97362487 0.98774426
1056 0.98189892 0.97477219 0.98902564
1057 0.98304484 0.97580504 0.99028465
1058 0.98413657 0.97674332 0.99152982
1059 0.98518519 0.97760005 0.99277032
1060 0.98521946 0.97762733 0.99281159
1061 0.98525366 0.97765455 0.99285277
1062 0.98617975 0.97839666 0.99396284
1063 0.98704768 0.97910778 0.99498758
1064 0.98788919 0.97981873 0.99595964
1065 0.98864976 0.98048340 0.99681612
1066 0.98936257 0.98112766 0.99759748
1067 0.99005368 0.98177353 0.99833383
1068 0.99067832 0.98237627 0.99898037
1069 0.99126373 0.98295831 0.99956915
1070 0.99183133 0.98353917 1.00000000
1071 0.99234433 0.98407878 1.00000000
1072 0.99284172 0.98461583 1.00000000
1073 0.99329126 0.98511356 1.00000000
1074 0.99371258 0.98559124 1.00000000
1075 0.99412107 0.98606533 1.00000000
1076 0.99449028 0.98650369 1.00000000
1077 0.99483629 0.98692359 1.00000000
1078 0.99517178 0.98733968 1.00000000
1079 0.99547500 0.98772394 1.00000000
1080 0.99576898 0.98810451 1.00000000
1081 0.13857819 0.09834912 0.17880726
1082 0.60221049 0.56349049 0.64093049
1083 0.73498328 0.70650141 0.76346515
1084 0.81267267 0.79019786 0.83514748
1085 0.86197634 0.84256628 0.88138640
1086 0.89495366 0.87704433 0.91286300
1087 0.91789044 0.90094052 0.93484037
1088 0.93433024 0.91825491 0.95040557
1089 0.94640010 0.93123577 0.96156442
1090 0.95544358 0.94121116 0.96967599
1091 0.96234671 0.94901064 0.97568278
1092 0.96771483 0.95517857 0.98025108
1093 0.97197212 0.96008595 0.98385828
1094 0.97541997 0.96399355 0.98684640
1095 0.97827310 0.96709127 0.98945492
1096 0.98068353 0.96952426 0.99184280
1097 0.98275793 0.97140920 0.99410666
1098 0.98457089 0.97284287 0.99629891
1099 0.98630137 0.97397977 0.99862297
1100 0.98642590 0.97408233 0.99876948
1101 0.98654930 0.97418448 0.99891413
1102 0.98783487 0.97528488 1.00000000
1103 0.98899757 0.97634802 1.00000000
1104 0.99013960 0.97746493 1.00000000
1105 0.99108202 0.97844594 1.00000000
1106 0.99200769 0.97946609 1.00000000
1107 0.99277157 0.98035388 1.00000000
1108 0.99352187 0.98127059 1.00000000
1109 0.99414102 0.98206435 1.00000000
1110 0.99474918 0.98288127 1.00000000
1111 0.99525103 0.98358720 1.00000000
1112 0.99574397 0.98431299 1.00000000
1113 0.99615074 0.98493998 1.00000000
1114 0.99655029 0.98558477 1.00000000
1115 0.99688000 0.98614213 1.00000000
1116 0.99720385 0.98671584 1.00000000
1117 0.99747110 0.98721234 1.00000000
1118 0.99773359 0.98772407 1.00000000
1119 0.99795021 0.98816756 1.00000000
1120 0.99816297 0.98862536 1.00000000
1121 0.06994467 0.05677656 0.08311278
1122 0.61280361 0.57996999 0.64563722
1123 0.77559181 0.74803152 0.80315209
1124 0.84858102 0.82482259 0.87233946
1125 0.88763736 0.86632834 0.90894638
1126 0.91132824 0.89159384 0.93106265
1127 0.92712485 0.90851433 0.94573536
1128 0.93838891 0.92069705 0.95608077
1129 0.94677884 0.92991231 0.96364536
1130 0.95352031 0.93747083 0.96956979
1131 0.95842169 0.94309903 0.97374434
1132 0.96225639 0.94761153 0.97690126
1133 0.96527460 0.95124649 0.97930272
1134 0.96766469 0.95417675 0.98115263
1135 0.96957087 0.95652945 0.98261229
1136 0.97110286 0.95839754 0.98380819
1137 0.97234201 0.95984800 0.98483603
1138 0.97334585 0.96092814 0.98576357
1139 0.97419355 0.96170376 0.98668333
1140 0.97423524 0.96173994 0.98673054
1141 0.97427686 0.96177590 0.98677783
1142 0.97493376 0.96232568 0.98754185
1143 0.97557389 0.96283840 0.98830938
1144 0.97619766 0.96332693 0.98906840
1145 0.97684298 0.96382986 0.98985610
1146 0.97743435 0.96429490 0.99057380
1147 0.97801062 0.96475641 0.99126482
1148 0.97857217 0.96521729 0.99192704
1149 0.97915311 0.96570830 0.99259792
1150 0.97968548 0.96617272 0.99319825
1151 0.98020426 0.96663979 0.99376873
1152 0.98070979 0.96710954 0.99431003
1153 0.98123278 0.96761134 0.99485421
1154 0.98171204 0.96808570 0.99533839
1155 0.98217907 0.96856154 0.99579659
1156 0.98263416 0.96903828 0.99623005
1157 0.98310498 0.96954511 0.99666485
1158 0.98353643 0.97002176 0.99705110
1159 0.98395687 0.97049743 0.99741630
1160 0.98439182 0.97100112 0.99778252

$coverage_based
     Assemblage         SC    m        Method Order.q        qD     qD.LCL
1          BE10 0.39408454    1   Rarefaction       0  1.000005  0.8859436
2          BE10 0.81624219   15   Rarefaction       0  5.138523  4.1650546
3          BE10 0.89466844   30   Rarefaction       0  7.261202  6.0331477
4          BE10 0.92783460   44   Rarefaction       0  8.493793  6.9768760
5          BE10 0.94612196   59   Rarefaction       0  9.433918  7.6127447
6          BE10 0.95625439   74   Rarefaction       0 10.164353  8.0672971
7          BE10 0.96206318   88   Rarefaction       0 10.736163  8.4092643
8          BE10 0.96623309  103   Rarefaction       0 11.274110  8.7358372
9          BE10 0.96906748  117   Rarefaction       0 11.727560  9.0202322
10         BE10 0.97146996  132   Rarefaction       0 12.174118  9.2715283
11         BE10 0.97349012  147   Rarefaction       0 12.587567  9.4387391
12         BE10 0.97516349  161   Rarefaction       0 12.947639  9.5534290
13         BE10 0.97680512  176   Rarefaction       0 13.308532  9.6358447
14         BE10 0.97823491  190   Rarefaction       0 13.623868  9.6691633
15         BE10 0.97968357  205   Rarefaction       0 13.940110  9.6760175
16         BE10 0.98106612  220   Rarefaction       0 14.235107  9.6513445
17         BE10 0.98231255  234   Rarefaction       0 14.492039  9.6069189
18         BE10 0.98361695  249   Rarefaction       0 14.748190  9.5387398
19         BE10 0.98490566  263   Rarefaction       0 14.973973  9.4376582
20         BE10 0.98499094  265      Observed       0 15.000000  9.4416645
21         BE10 0.98507574  266 Extrapolation       0 15.015009  9.4328455
22         BE10 0.98613547  279 Extrapolation       0 15.202582  9.3445909
23         BE10 0.98719272  293 Extrapolation       0 15.389716  9.2563251
24         BE10 0.98816936  307 Extrapolation       0 15.562580  9.1796247
25         BE10 0.98907151  321 Extrapolation       0 15.722262  9.1518016
26         BE10 0.98990488  335 Extrapolation       0 15.869767  9.0694023
27         BE10 0.99067469  349 Extrapolation       0 16.006024  8.9879721
28         BE10 0.99138580  363 Extrapolation       0 16.131891  8.9086691
29         BE10 0.99204269  377 Extrapolation       0 16.248159  8.8325939
30         BE10 0.99264948  391 Extrapolation       0 16.355562  8.7612019
31         BE10 0.99317142  404 Extrapolation       0 16.447945  8.6980917
32         BE10 0.99369214  418 Extrapolation       0 16.540113  8.6330131
33         BE10 0.99417315  432 Extrapolation       0 16.625252  8.5710627
34         BE10 0.99461749  446 Extrapolation       0 16.703899  8.5123001
35         BE10 0.99502793  460 Extrapolation       0 16.776548  8.4567229
36         BE10 0.99540708  474 Extrapolation       0 16.843658  8.4042891
37         BE10 0.99575732  488 Extrapolation       0 16.905650  8.3549235
38         BE10 0.99608085  502 Extrapolation       0 16.962915  8.3085285
39         BE10 0.99637971  516 Extrapolation       0 17.015813  8.2650456
40         BE10 0.99665578  530 Extrapolation       0 17.064677  8.2244984
41         BE11 0.11437155    1   Rarefaction       0  1.000000  0.8957679
42         BE11 0.71404943   24   Rarefaction       0 12.039820 10.7415612
43         BE11 0.83540696   47   Rarefaction       0 17.059839 15.3441288
44         BE11 0.89049749   71   Rarefaction       0 20.301219 18.3365177
45         BE11 0.91979579   94   Rarefaction       0 22.469925 20.3443992
46         BE11 0.93844882  117   Rarefaction       0 24.094760 21.8369730
47         BE11 0.95154503  141   Rarefaction       0 25.411433 23.0077923
48         BE11 0.96032454  164   Rarefaction       0 26.423741 23.8508866
49         BE11 0.96693307  188   Rarefaction       0 27.295731 24.5078926
50         BE11 0.97160537  211   Rarefaction       0 28.002310 24.9715527
51         BE11 0.97513590  234   Rarefaction       0 28.614707 25.2860019
52         BE11 0.97793683  258   Rarefaction       0 29.177696 25.1318399
53         BE11 0.97999182  281   Rarefaction       0 29.661528 24.6915756
54         BE11 0.98164234  305   Rarefaction       0 30.121871 24.1638311
55         BE11 0.98286542  328   Rarefaction       0 30.530064 23.7275224
56         BE11 0.98382524  351   Rarefaction       0 30.913169 23.4166924
57         BE11 0.98462189  375   Rarefaction       0 31.291853 23.2098724
58         BE11 0.98524932  398   Rarefaction       0 31.638444 23.0949926
59         BE11 0.98581560  421   Rarefaction       0 31.975202 23.0300191
60         BE11 0.98583798  423      Observed       0 32.000000 23.0390976
61         BE11 0.98586031  424 Extrapolation       0 32.014162 23.0366908
62         BE11 0.98634292  446 Extrapolation       0 32.320137 22.9878548
63         BE11 0.98680906  468 Extrapolation       0 32.615669 22.9407719
64         BE11 0.98725929  490 Extrapolation       0 32.901113 22.8967276
65         BE11 0.98769415  512 Extrapolation       0 33.176815 22.8584469
66         BE11 0.98813292  535 Extrapolation       0 33.454993 22.8376911
67         BE11 0.98853796  557 Extrapolation       0 33.711790 22.8221215
68         BE11 0.98892918  579 Extrapolation       0 33.959822 22.7904188
69         BE11 0.98930704  601 Extrapolation       0 34.199389 22.7574659
70         BE11 0.98967201  623 Extrapolation       0 34.430778 22.7237061
71         BE11 0.99004026  646 Extrapolation       0 34.664246 22.6879603
72         BE11 0.99038020  668 Extrapolation       0 34.879769 22.6536785
73         BE11 0.99070854  690 Extrapolation       0 35.087936 22.6195547
74         BE11 0.99102567  712 Extrapolation       0 35.288999 22.5855532
75         BE11 0.99133198  734 Extrapolation       0 35.483198 22.5518117
76         BE11 0.99164104  757 Extrapolation       0 35.679142 22.5169713
77         BE11 0.99192634  779 Extrapolation       0 35.860025 22.4841903
78         BE11 0.99220191  801 Extrapolation       0 36.034734 22.4520517
79         BE11 0.99246807  823 Extrapolation       0 36.203481 22.4206542
80         BE11 0.99273662  846 Extrapolation       0 36.373742 22.3887253
81         BE12 0.11947921    1   Rarefaction       0  1.000000  0.8618204
82         BE12 0.63117812   12   Rarefaction       0  7.345013  6.0245911
83         BE12 0.77676623   24   Rarefaction       0 10.836122  9.1529821
84         BE12 0.83948693   35   Rarefaction       0 12.944977 11.0918267
85         BE12 0.87978515   47   Rarefaction       0 14.630595 12.6749123
86         BE12 0.90448130   58   Rarefaction       0 15.821996 13.8313035
87         BE12 0.92414757   70   Rarefaction       0 16.854248 14.8810322
88         BE12 0.93794572   81   Rarefaction       0 17.616638 15.7026278
89         BE12 0.94978665   93   Rarefaction       0 18.293312 16.4674331
90         BE12 0.95842030  104   Rarefaction       0 18.800802 17.0358185
91         BE12 0.96594846  116   Rarefaction       0 19.256609 17.4978314
92         BE12 0.97145820  127   Rarefaction       0 19.602545 17.7012377
93         BE12 0.97625071  139   Rarefaction       0 19.917558 17.4968649
94         BE12 0.97974725  150   Rarefaction       0 20.160627 17.1880960
95         BE12 0.98279641  162   Rarefaction       0 20.386195 16.8531824
96         BE12 0.98505792  173   Rarefaction       0 20.563733 16.5740569
97         BE12 0.98711297  185   Rarefaction       0 20.731389 16.3058687
98         BE12 0.98875698  196   Rarefaction       0 20.864776 16.0768639
99         BE12 0.99043062  208   Rarefaction       0 20.989324 15.8251831
100        BE12 0.99056668  209      Observed       0 21.000000 15.8059335
101        BE12 0.99070080  210 Extrapolation       0 21.009433 15.7856407
102        BE12 0.99194150  220 Extrapolation       0 21.096696 15.5910671
103        BE12 0.99311595  231 Extrapolation       0 21.179299 15.4029456
104        BE12 0.99411924  242 Extrapolation       0 21.249863 15.2396651
105        BE12 0.99497630  253 Extrapolation       0 21.310144 15.0988658
106        BE12 0.99570846  264 Extrapolation       0 21.361639 14.9782045
107        BE12 0.99633391  275 Extrapolation       0 21.405629 14.8742977
108        BE12 0.99686821  286 Extrapolation       0 21.443208 14.7849159
109        BE12 0.99732464  297 Extrapolation       0 21.475310 14.7081231
110        BE12 0.99771455  308 Extrapolation       0 21.502734 14.6422080
111        BE12 0.99804763  319 Extrapolation       0 21.526160 14.5856765
112        BE12 0.99833217  330 Extrapolation       0 21.546173 14.5372208
113        BE12 0.99857524  341 Extrapolation       0 21.563269 14.4957073
114        BE12 0.99878289  352 Extrapolation       0 21.577873 14.4601568
115        BE12 0.99896027  363 Extrapolation       0 21.590349 14.4297244
116        BE12 0.99911180  374 Extrapolation       0 21.601007 14.4036807
117        BE12 0.99924125  385 Extrapolation       0 21.610111 14.3813978
118        BE12 0.99935183  396 Extrapolation       0 21.617889 14.3623368
119        BE12 0.99944629  407 Extrapolation       0 21.624533 14.3460352
120        BE12 0.99952699  418 Extrapolation       0 21.630209 14.3320953
121        BE13 0.05300481    1   Rarefaction       0  1.000000  0.9773217
122        BE13 0.58115955   19   Rarefaction       0 12.630229 11.2103841
123        BE13 0.75773941   37   Rarefaction       0 18.418020 16.2212535
124        BE13 0.83515803   56   Rarefaction       0 22.229057 19.3737189
125        BE13 0.87190830   74   Rarefaction       0 24.851476 21.4346937
126        BE13 0.89330283   92   Rarefaction       0 26.959730 23.0149839
127        BE13 0.90762563  111   Rarefaction       0 28.848596 24.3823946
128        BE13 0.91701137  129   Rarefaction       0 30.427140 25.4949519
129        BE13 0.92445702  148   Rarefaction       0 31.933920 26.5221503
130        BE13 0.93012965  166   Rarefaction       0 33.243929 27.3711367
131        BE13 0.93495832  184   Rarefaction       0 34.459532 28.1047769
132        BE13 0.93943469  203   Rarefaction       0 35.654193 28.7618225
133        BE13 0.94324420  221   Rarefaction       0 36.711439 29.2875023
134        BE13 0.94690765  240   Rarefaction       0 37.756304 29.7593638
135        BE13 0.95009556  258   Rarefaction       0 38.684491 30.1506288
136        BE13 0.95304544  276   Rarefaction       0 39.557362 30.4924772
137        BE13 0.95593050  295   Rarefaction       0 40.423183 30.8138410
138        BE13 0.95846878  313   Rarefaction       0 41.194587 31.0639419
139        BE13 0.96096096  332   Rarefaction       0 41.946537 31.2461195
140        BE13 0.96108718  333      Observed       0 42.000000 31.2709771
141        BE13 0.96121300  334 Extrapolation       0 42.038913 31.2771191
142        BE13 0.96329068  351 Extrapolation       0 42.681509 31.4104522
143        BE13 0.96525706  368 Extrapolation       0 43.289684 31.5148929
144        BE13 0.96722443  386 Extrapolation       0 43.898162 31.5976989
145        BE13 0.96898010  403 Extrapolation       0 44.441165 31.6531696
146        BE13 0.97073664  421 Extrapolation       0 44.984440 31.6909868
147        BE13 0.97230417  438 Extrapolation       0 45.469255 31.7109284
148        BE13 0.97387249  456 Extrapolation       0 45.954312 31.7202374
149        BE13 0.97527204  473 Extrapolation       0 46.387175 31.7160117
150        BE13 0.97667230  491 Extrapolation       0 46.820254 31.7003654
151        BE13 0.97792188  508 Extrapolation       0 47.206731 31.6772975
152        BE13 0.97917208  526 Extrapolation       0 47.593401 31.6461479
153        BE13 0.98028776  543 Extrapolation       0 47.938464 31.6120364
154        BE13 0.98140399  561 Extrapolation       0 48.283699 31.5723410
155        BE13 0.98240011  578 Extrapolation       0 48.591784 31.5325083
156        BE13 0.98339673  596 Extrapolation       0 48.900024 31.4890154
157        BE13 0.98428611  613 Extrapolation       0 49.175096 31.4473449
158        BE13 0.98517593  631 Extrapolation       0 49.450305 31.4031042
159        BE13 0.98597000  648 Extrapolation       0 49.695900 31.3615791
160        BE13 0.98676447  666 Extrapolation       0 49.941617 31.3181962
161        BE14 0.05725589    1   Rarefaction       0  1.000000  0.9248920
162        BE14 0.57652840   20   Rarefaction       0 13.090894 11.5567330
163        BE14 0.74386538   40   Rarefaction       0 19.715455 17.3489505
164        BE14 0.81844953   60   Rarefaction       0 24.044830 20.9438971
165        BE14 0.85726202   79   Rarefaction       0 27.113811 23.3756809
166        BE14 0.88286082   99   Rarefaction       0 29.707402 25.3819697
167        BE14 0.90032026  119   Rarefaction       0 31.874375 27.0433822
168        BE14 0.91248101  138   Rarefaction       0 33.653498 28.3981850
169        BE14 0.92225218  158   Rarefaction       0 35.306795 29.6445956
170        BE14 0.92985846  178   Rarefaction       0 36.786474 30.7456742
171        BE14 0.93563297  197   Rarefaction       0 38.065288 31.6819791
172        BE14 0.94058411  217   Rarefaction       0 39.303941 32.5594519
173        BE14 0.94467832  237   Rarefaction       0 40.452149 33.2858991
174        BE14 0.94798360  256   Rarefaction       0 41.472750 33.6696248
175        BE14 0.95101639  276   Rarefaction       0 42.483623 33.8441168
176        BE14 0.95372344  296   Rarefaction       0 43.437130 33.8054399
177        BE14 0.95608650  315   Rarefaction       0 44.294855 33.6590161
178        BE14 0.95842760  335   Rarefaction       0 45.150687 33.4379993
179        BE14 0.96067416  354   Rarefaction       0 45.937157 33.1381111
180        BE14 0.96078462  356      Observed       0 46.000000 33.1465287
181        BE14 0.96089478  357 Extrapolation       0 46.039215 33.1314697
182        BE14 0.96282550  375 Extrapolation       0 46.726552 32.8566348
183        BE14 0.96476016  394 Extrapolation       0 47.415292 32.5637735
184        BE14 0.96659414  413 Extrapolation       0 48.068189 32.2794712
185        BE14 0.96824347  431 Extrapolation       0 48.655350 32.0227512
186        BE14 0.96989617  450 Extrapolation       0 49.243710 31.7688823
187        BE14 0.97146286  469 Extrapolation       0 49.801451 31.5362298
188        BE14 0.97287180  487 Extrapolation       0 50.303037 31.3369513
189        BE14 0.97428363  506 Extrapolation       0 50.805647 31.1289372
190        BE14 0.97562198  525 Extrapolation       0 51.282100 30.9213746
191        BE14 0.97682558  543 Extrapolation       0 51.710582 30.7264262
192        BE14 0.97803164  562 Extrapolation       0 52.139940 30.5239228
193        BE14 0.97917494  581 Extrapolation       0 52.546952 30.3254485
194        BE14 0.98020312  599 Extrapolation       0 52.912986 30.1418696
195        BE14 0.98123341  618 Extrapolation       0 53.279767 29.9532708
196        BE14 0.98221007  637 Extrapolation       0 53.627460 29.7702665
197        BE14 0.98308841  655 Extrapolation       0 53.940146 29.6025025
198        BE14 0.98396853  674 Extrapolation       0 54.253471 29.4311867
199        BE14 0.98480285  693 Extrapolation       0 54.550490 29.2663715
200        BE14 0.98559375  712 Extrapolation       0 54.832051 29.1079531
201        BE15 0.03682863    1   Rarefaction       0  1.000007  0.9750286
202        BE15 0.27403269    9   Rarefaction       0  7.814114  6.5423383
203        BE15 0.45201084   18   Rarefaction       0 13.581024 11.4866509
204        BE15 0.55989945   26   Rarefaction       0 17.562950 14.9234162
205        BE15 0.64541235   35   Rarefaction       0 21.159341 17.9959553
206        BE15 0.70633001   44   Rarefaction       0 24.092473 20.4491380
207        BE15 0.74681802   52   Rarefaction       0 26.293255 22.2514707
208        BE15 0.78188506   61   Rarefaction       0 28.424767 23.9681525
209        BE15 0.80642382   69   Rarefaction       0 30.080358 25.2830538
210        BE15 0.82864400   78   Rarefaction       0 31.730039 26.5717559
211        BE15 0.84663366   87   Rarefaction       0 33.197592 27.6851828
212        BE15 0.85993315   95   Rarefaction       0 34.376520 28.5250805
213        BE15 0.87255116  104   Rarefaction       0 35.585025 29.1045738
214        BE15 0.88211068  112   Rarefaction       0 36.570247 27.6139193
215        BE15 0.89137544  121   Rarefaction       0 37.593140 25.4584645
216        BE15 0.89936200  130   Rarefaction       0 38.537966 23.4037426
217        BE15 0.90558182  138   Rarefaction       0 39.320806 21.7928404
218        BE15 0.91175739  147   Rarefaction       0 40.145276 20.2102330
219        BE15 0.91719745  156   Rarefaction       0 40.889723 18.8048464
220        BE15 0.91776515  157      Observed       0 41.000000 18.6897905
221        BE15 0.91832895  158 Extrapolation       0 41.082235 18.5472719
222        BE15 0.92270243  166 Extrapolation       0 41.720138 17.4344988
223        BE15 0.92684171  174 Extrapolation       0 42.323882 16.3673675
224        BE15 0.93075933  182 Extrapolation       0 42.895295 15.3425372
225        BE15 0.93446717  190 Extrapolation       0 43.436109 14.3598752
226        BE15 0.93840168  199 Extrapolation       0 44.009986 13.3053192
227        BE15 0.94170027  207 Extrapolation       0 44.491108 12.4132021
228        BE15 0.94482222  215 Extrapolation       0 44.946466 11.5632450
229        BE15 0.94777698  223 Extrapolation       0 45.377440 10.7547605
230        BE15 0.95057352  231 Extrapolation       0 45.785336  9.9867753
231        BE15 0.95354103  240 Extrapolation       0 46.218168  9.1692257
232        BE15 0.95602890  248 Extrapolation       0 46.581042  8.4822281
233        BE15 0.95838355  256 Extrapolation       0 46.924485  7.8324320
234        BE15 0.96061211  264 Extrapolation       0 47.249536  7.2145435
235        BE15 0.96272133  272 Extrapolation       0 47.557180  6.6281166
236        BE15 0.96495950  281 Extrapolation       0 47.883633  6.0043205
237        BE15 0.96683592  289 Extrapolation       0 48.157322  5.4802282
238        BE15 0.96861185  297 Extrapolation       0 48.416355  4.9833149
239        BE15 0.97029268  305 Extrapolation       0 48.661516  4.5122584
240        BE15 0.97207628  314 Extrapolation       0 48.921666  4.0116427
241        BE16 0.13215078    1   Rarefaction       0  1.000000  0.9103340
242        BE16 0.72643580   20   Rarefaction       0  9.838873  8.7653947
243        BE16 0.83848640   39   Rarefaction       0 13.870647 12.4998078
244        BE16 0.89160832   58   Rarefaction       0 16.410253 14.8651119
245        BE16 0.92214177   77   Rarefaction       0 18.170956 16.5370886
246        BE16 0.94216733   97   Rarefaction       0 19.523011 17.8262913
247        BE16 0.95478907  116   Rarefaction       0 20.500838 18.7407843
248        BE16 0.96365661  135   Rarefaction       0 21.275370 19.4417480
249        BE16 0.97009659  154   Rarefaction       0 21.904830 19.9902430
250        BE16 0.97511101  174   Rarefaction       0 22.452784 20.4486399
251        BE16 0.97870991  193   Rarefaction       0 22.891794 20.7973506
252        BE16 0.98150301  212   Rarefaction       0 23.270094 21.0526460
253        BE16 0.98371261  231   Rarefaction       0 23.600869 21.1357608
254        BE16 0.98549713  250   Rarefaction       0 23.893699 21.1044668
255        BE16 0.98704331  270   Rarefaction       0 24.168590 20.9597355
256        BE16 0.98828703  289   Rarefaction       0 24.403287 20.7998431
257        BE16 0.98938008  308   Rarefaction       0 24.615804 20.6130350
258        BE16 0.99037797  327   Rarefaction       0 24.808491 20.4413585
259        BE16 0.99137931  346   Rarefaction       0 24.985996 20.2601510
260        BE16 0.99142871  348      Observed       0 25.000000 20.2565512
261        BE16 0.99147783  349 Extrapolation       0 25.008571 20.2460232
262        BE16 0.99231537  367 Extrapolation       0 25.154722 20.0729953
263        BE16 0.99307060  385 Extrapolation       0 25.286509 19.9102805
264        BE16 0.99375160  403 Extrapolation       0 25.405344 19.7592880
265        BE16 0.99439797  422 Extrapolation       0 25.518135 19.6135815
266        BE16 0.99494852  440 Extrapolation       0 25.614207 19.4873427
267        BE16 0.99544497  458 Extrapolation       0 25.700837 19.3715527
268        BE16 0.99589263  476 Extrapolation       0 25.778953 19.2657851
269        BE16 0.99631751  495 Extrapolation       0 25.853096 19.1643800
270        BE16 0.99667942  513 Extrapolation       0 25.916248 19.0772250
271        BE16 0.99700576  531 Extrapolation       0 25.973195 18.9977994
272        BE16 0.99730003  549 Extrapolation       0 26.024544 18.9253436
273        BE16 0.99757932  568 Extrapolation       0 26.073282 18.8560872
274        BE16 0.99781722  586 Extrapolation       0 26.114795 18.7967617
275        BE16 0.99803174  604 Extrapolation       0 26.152228 18.7430135
276        BE16 0.99822518  622 Extrapolation       0 26.185983 18.6943492
277        BE16 0.99840877  641 Extrapolation       0 26.218021 18.6479920
278        BE16 0.99856516  659 Extrapolation       0 26.245309 18.6083811
279        BE16 0.99870617  677 Extrapolation       0 26.269916 18.5725668
280        BE16 0.99884001  696 Extrapolation       0 26.293271 18.5384919
281        BE17 0.05198763    1   Rarefaction       0  1.000003  0.9532194
282        BE17 0.43753991   12   Rarefaction       0  9.239211  8.0825285
283        BE17 0.63897372   24   Rarefaction       0 14.739254 13.1632922
284        BE17 0.73718204   35   Rarefaction       0 18.171697 16.4223719
285        BE17 0.80193865   47   Rarefaction       0 20.939539 19.0993581
286        BE17 0.84173095   58   Rarefaction       0 22.907155 21.0205042
287        BE17 0.87343389   70   Rarefaction       0 24.622760 22.6941153
288        BE17 0.89585196   81   Rarefaction       0 25.898287 23.9315837
289        BE17 0.91544934   93   Rarefaction       0 27.036051 25.0276779
290        BE17 0.93016542  104   Rarefaction       0 27.890091 25.8447542
291        BE17 0.94351930  116   Rarefaction       0 28.652185 26.5705030
292        BE17 0.95379193  127   Rarefaction       0 29.220579 27.1128554
293        BE17 0.96326121  139   Rarefaction       0 29.721365 27.5953597
294        BE17 0.97062394  150   Rarefaction       0 30.087637 27.9449704
295        BE17 0.97745851  162   Rarefaction       0 30.401421 28.1438964
296        BE17 0.98279493  173   Rarefaction       0 30.621954 27.8100502
297        BE17 0.98775628  185   Rarefaction       0 30.800303 27.1411050
298        BE17 0.99162707  196   Rarefaction       0 30.915086 26.4845044
299        BE17 0.99521531  208   Rarefaction       0 30.992962 25.7989282
300        BE17 0.99547629  209      Observed       0 31.000000 25.7492024
301        BE17 0.99572304  210 Extrapolation       0 31.004524 25.6998574
302        BE17 0.99755915  220 Extrapolation       0 31.038186 25.3288617
303        BE17 0.99868299  231 Extrapolation       0 31.058789 25.0987921
304        BE17 0.99928938  242 Extrapolation       0 31.069907 24.9737979
305        BE17 0.99961657  253 Extrapolation       0 31.075905 24.9061145
306        BE17 0.99979311  264 Extrapolation       0 31.079142 24.8695256
307        BE17 0.99988837  275 Extrapolation       0 31.080888 24.8497634
308        BE17 0.99993977  286 Extrapolation       0 31.081830 24.8390927
309        BE17 0.99996750  297 Extrapolation       0 31.082339 24.8333334
310        BE17 0.99998246  308 Extrapolation       0 31.082613 24.8302255
311        BE17 0.99999054  319 Extrapolation       0 31.082761 24.8285484
312        BE17 0.99999489  330 Extrapolation       0 31.082841 24.8276435
313        BE17 0.99999725  341 Extrapolation       0 31.082884 24.8271552
314        BE17 0.99999851  352 Extrapolation       0 31.082907 24.8268918
315        BE17 0.99999920  363 Extrapolation       0 31.082920 24.8267496
316        BE17 0.99999957  374 Extrapolation       0 31.082927 24.8266729
317        BE17 0.99999977  385 Extrapolation       0 31.082930 24.8266315
318        BE17 0.99999987  396 Extrapolation       0 31.082932 24.8266092
319        BE17 0.99999993  407 Extrapolation       0 31.082933 24.8265971
320        BE17 0.99999996  418 Extrapolation       0 31.082934 24.8265906
321        BE18 0.09209837    1   Rarefaction       0  1.000015  0.9233746
322        BE18 0.62912716   21   Rarefaction       0 12.112883 10.2944004
323        BE18 0.75093743   41   Rarefaction       0 18.210636 15.5900873
324        BE18 0.81475664   62   Rarefaction       0 22.736554 19.4467238
325        BE18 0.85078840   82   Rarefaction       0 26.072385 22.2114027
326        BE18 0.87581477  103   Rarefaction       0 28.939057 24.4982058
327        BE18 0.89282127  123   Rarefaction       0 31.252804 26.2642213
328        BE18 0.90629084  144   Rarefaction       0 33.362582 27.8103110
329        BE18 0.91631973  164   Rarefaction       0 35.137729 29.0709223
330        BE18 0.92476065  185   Rarefaction       0 36.807404 30.2247130
331        BE18 0.93130597  205   Rarefaction       0 38.247900 31.1818677
332        BE18 0.93671757  225   Rarefaction       0 39.568693 31.9847400
333        BE18 0.94142393  246   Rarefaction       0 40.848993 32.4530562
334        BE18 0.94514889  266   Rarefaction       0 41.984017 32.4655424
335        BE18 0.94840708  287   Rarefaction       0 43.102250 32.3370339
336        BE18 0.95099661  307   Rarefaction       0 44.108755 32.1983183
337        BE18 0.95327517  328   Rarefaction       0 45.114333 32.1410326
338        BE18 0.95510772  348   Rarefaction       0 46.030936 32.1805344
339        BE18 0.95675676  368   Rarefaction       0 46.916623 32.2678261
340        BE18 0.95682988  370      Observed       0 47.000000 32.3159442
341        BE18 0.95690287  371 Extrapolation       0 47.043170 32.3237200
342        BE18 0.95826659  390 Extrapolation       0 47.849673 32.4654473
343        BE18 0.95958716  409 Extrapolation       0 48.630655 32.6137676
344        BE18 0.96093211  429 Extrapolation       0 49.426060 32.7553930
345        BE18 0.96216833  448 Extrapolation       0 50.157161 32.8415028
346        BE18 0.96342738  468 Extrapolation       0 50.901762 32.8951721
347        BE18 0.96458464  487 Extrapolation       0 51.586168 32.9149878
348        BE18 0.96570529  506 Extrapolation       0 52.248917 32.9108339
349        BE18 0.96684662  526 Extrapolation       0 52.923905 32.8844471
350        BE18 0.96789569  545 Extrapolation       0 53.544324 32.8425307
351        BE18 0.96896413  565 Extrapolation       0 54.176200 32.7828139
352        BE18 0.96994620  584 Extrapolation       0 54.756993 32.7137424
353        BE18 0.97094640  604 Extrapolation       0 55.348510 32.6305725
354        BE18 0.97186574  623 Extrapolation       0 55.892208 32.5435370
355        BE18 0.97275599  642 Extrapolation       0 56.418702 32.4503365
356        BE18 0.97366268  662 Extrapolation       0 56.954917 32.3470608
357        BE18 0.97449607  681 Extrapolation       0 57.447784 32.2452225
358        BE18 0.97534484  701 Extrapolation       0 57.949751 32.1351610
359        BE18 0.97612500  720 Extrapolation       0 58.411138 32.0287373
360        BE18 0.97691957  740 Extrapolation       0 58.881045 31.9155733
361        BE19 0.09812942    1   Rarefaction       0  1.000000  0.9026488
362        BE19 0.62136876   20   Rarefaction       0 11.653126  9.9324503
363        BE19 0.74983982   39   Rarefaction       0 17.536347 15.2275196
364        BE19 0.81750925   58   Rarefaction       0 21.624555 18.9177328
365        BE19 0.86006567   77   Rarefaction       0 24.681594 21.7043811
366        BE19 0.88943495   96   Rarefaction       0 27.060481 23.9052368
367        BE19 0.91096565  115   Rarefaction       0 28.957736 25.6866819
368        BE19 0.92743996  134   Rarefaction       0 30.494613 27.1445282
369        BE19 0.94042403  153   Rarefaction       0 31.751758 28.3371764
370        BE19 0.95085691  172   Rarefaction       0 32.786321 29.3049008
371        BE19 0.95933684  191   Rarefaction       0 33.640997 30.0820140
372        BE19 0.96626662  210   Rarefaction       0 34.349033 30.7007687
373        BE19 0.97193074  229   Rarefaction       0 34.937175 31.1718450
374        BE19 0.97653842  248   Rarefaction       0 35.427492 31.1637057
375        BE19 0.98024928  267   Rarefaction       0 35.838556 30.7049283
376        BE19 0.98318961  286   Rarefaction       0 36.186226 30.1211379
377        BE19 0.98546317  305   Rarefaction       0 36.484182 29.5838575
378        BE19 0.98715871  324   Rarefaction       0 36.744274 29.1792334
379        BE19 0.98840580  343   Rarefaction       0 36.979470 28.9134333
380        BE19 0.98845613  345      Observed       0 37.000000 28.9134304
381        BE19 0.98850625  346 Extrapolation       0 37.011544 28.9071845
382        BE19 0.98937207  364 Extrapolation       0 37.210970 28.7616660
383        BE19 0.99017267  382 Extrapolation       0 37.395374 28.6193486
384        BE19 0.99091295  400 Extrapolation       0 37.565887 28.4823414
385        BE19 0.99159747  418 Extrapolation       0 37.723556 28.3514486
386        BE19 0.99223043  436 Extrapolation       0 37.869347 28.2270173
387        BE19 0.99281571  454 Extrapolation       0 38.004156 28.1092576
388        BE19 0.99335690  472 Extrapolation       0 38.128809 27.9982175
389        BE19 0.99385732  490 Extrapolation       0 38.244073 27.8938163
390        BE19 0.99432004  508 Extrapolation       0 38.350654 27.7958876
391        BE19 0.99477071  527 Extrapolation       0 38.454458 27.6993127
392        BE19 0.99516463  545 Extrapolation       0 38.545191 27.6139830
393        BE19 0.99552888  563 Extrapolation       0 38.629089 27.5343559
394        BE19 0.99586569  581 Extrapolation       0 38.706667 27.4601311
395        BE19 0.99617712  599 Extrapolation       0 38.778401 27.3910075
396        BE19 0.99646510  617 Extrapolation       0 38.844731 27.3266856
397        BE19 0.99673138  635 Extrapolation       0 38.906065 27.2668733
398        BE19 0.99697760  653 Extrapolation       0 38.962778 27.2112873
399        BE19 0.99720528  671 Extrapolation       0 39.015219 27.1594761
400        BE19 0.99742702  690 Extrapolation       0 39.066295 27.1091777
401         BE2 0.07262649    1   Rarefaction       0  1.000008  0.9506702
402         BE2 0.74343162   25   Rarefaction       0 13.023071 11.8566381
403         BE2 0.86969842   49   Rarefaction       0 17.407398 15.7818668
404         BE2 0.91170859   73   Rarefaction       0 19.980528 18.0047781
405         BE2 0.93241015   97   Rarefaction       0 21.838221 19.5689977
406         BE2 0.94505087  121   Rarefaction       0 23.304229 20.7863274
407         BE2 0.95360086  145   Rarefaction       0 24.518635 21.7877607
408         BE2 0.95975632  169   Rarefaction       0 25.557722 22.6338405
409         BE2 0.96440804  193   Rarefaction       0 26.467684 23.3457235
410         BE2 0.96807227  217   Rarefaction       0 27.278151 23.9269482
411         BE2 0.97106761  241   Rarefaction       0 28.008871 24.3994000
412         BE2 0.97360130  265   Rarefaction       0 28.673350 24.8029883
413         BE2 0.97581399  289   Rarefaction       0 29.280941 25.1506148
414         BE2 0.97780377  313   Rarefaction       0 29.838156 25.4126292
415         BE2 0.97963947  337   Rarefaction       0 30.349502 25.4802162
416         BE2 0.98136873  361   Rarefaction       0 30.818091 25.3370143
417         BE2 0.98302314  385   Rarefaction       0 31.246090 25.0999922
418         BE2 0.98462199  409   Rarefaction       0 31.635050 24.7665865
419         BE2 0.98617512  432   Rarefaction       0 31.975039 24.3155402
420         BE2 0.98623868  434      Observed       0 32.000000 24.3065550
421         BE2 0.98630195  435 Extrapolation       0 32.013761 24.2862366
422         BE2 0.98762262  457 Extrapolation       0 32.301007 23.8284597
423         BE2 0.98886738  480 Extrapolation       0 32.571742 23.4115309
424         BE2 0.98998695  503 Extrapolation       0 32.815250 22.9450405
425         BE2 0.99099394  526 Extrapolation       0 33.034269 22.5029272
426         BE2 0.99186224  548 Extrapolation       0 33.223124 22.1038976
427         BE2 0.99268063  571 Extrapolation       0 33.401124 21.7122145
428         BE2 0.99341672  594 Extrapolation       0 33.561224 21.3486567
429         BE2 0.99407878  617 Extrapolation       0 33.705222 21.0138610
430         BE2 0.99467426  640 Extrapolation       0 33.834739 20.7069228
431         BE2 0.99518773  662 Extrapolation       0 33.946419 20.4380229
432         BE2 0.99567169  685 Extrapolation       0 34.051680 20.1812027
433         BE2 0.99610697  708 Extrapolation       0 34.146354 19.9478375
434         BE2 0.99649848  731 Extrapolation       0 34.231508 19.7361721
435         BE2 0.99685062  754 Extrapolation       0 34.308098 19.5444435
436         BE2 0.99715426  776 Extrapolation       0 34.374140 19.3781419
437         BE2 0.99744045  799 Extrapolation       0 34.436386 19.2206000
438         BE2 0.99769786  822 Extrapolation       0 34.492372 19.0782091
439         BE2 0.99792938  845 Extrapolation       0 34.542727 18.9497332
440         BE2 0.99813761  868 Extrapolation       0 34.588019 18.8337583
441        BE20 0.24777798    1   Rarefaction       0  1.000000  0.8301883
442        BE20 0.63765407    9   Rarefaction       0  4.998873  3.3150150
443        BE20 0.72908010   17   Rarefaction       0  7.549565  5.4892385
444        BE20 0.78904434   25   Rarefaction       0  9.491691  7.0497567
445        BE20 0.83031142   33   Rarefaction       0 11.025321  8.1331236
446        BE20 0.85976895   41   Rarefaction       0 12.273574  8.7916637
447        BE20 0.88382201   50   Rarefaction       0 13.433703  8.9464795
448        BE20 0.89977722   58   Rarefaction       0 14.304538  6.8957696
449        BE20 0.91214270   66   Rarefaction       0 15.061033  4.0675166
450        BE20 0.92183727   74   Rarefaction       0 15.728438  1.7406524
451        BE20 0.92947966   82   Rarefaction       0 16.325806  0.0000000
452        BE20 0.93550847   90   Rarefaction       0 16.867927  0.0000000
453        BE20 0.94076516   99   Rarefaction       0 17.426260  0.0000000
454        BE20 0.94435685  107   Rarefaction       0 17.886973  0.0000000
455        BE20 0.94713630  115   Rarefaction       0 18.321914  0.0000000
456        BE20 0.94926245  123   Rarefaction       0 18.737001  0.0000000
457        BE20 0.95086636  131   Rarefaction       0 19.136982  0.0000000
458        BE20 0.95205760  139   Rarefaction       0 19.525644  0.0000000
459        BE20 0.95302013  148   Rarefaction       0 19.931441  0.0000000
460        BE20 0.95311065  149      Observed       0 20.000000  0.0000000
461        BE20 0.95320100  150 Extrapolation       0 20.046889  0.0000000
462        BE20 0.95382856  157 Extrapolation       0 20.372595  0.0000000
463        BE20 0.95453548  165 Extrapolation       0 20.739485  0.0000000
464        BE20 0.95523157  173 Extrapolation       0 21.100758  0.0000000
465        BE20 0.95591701  181 Extrapolation       0 21.456499  0.0000000
466        BE20 0.95650815  188 Extrapolation       0 21.763302  0.0000000
467        BE20 0.95717404  196 Extrapolation       0 22.108900  0.0000000
468        BE20 0.95782974  204 Extrapolation       0 22.449206  0.0000000
469        BE20 0.95847540  212 Extrapolation       0 22.784301  0.0000000
470        BE20 0.95911117  220 Extrapolation       0 23.114267  0.0000000
471        BE20 0.95965948  227 Extrapolation       0 23.398839  0.0000000
472        BE20 0.96027712  235 Extrapolation       0 23.719395  0.0000000
473        BE20 0.96088530  243 Extrapolation       0 24.035044  0.0000000
474        BE20 0.96148418  251 Extrapolation       0 24.345859  0.0000000
475        BE20 0.96207388  259 Extrapolation       0 24.651916  0.0000000
476        BE20 0.96258246  266 Extrapolation       0 24.915869  0.0000000
477        BE20 0.96315535  274 Extrapolation       0 25.213198  0.0000000
478        BE20 0.96371947  282 Extrapolation       0 25.505975  0.0000000
479        BE20 0.96427495  290 Extrapolation       0 25.794270  0.0000000
480        BE20 0.96482193  298 Extrapolation       0 26.078150  0.0000000
481        BE21 0.06068730    1   Rarefaction       0  1.000000  0.9316096
482        BE21 0.61740609   21   Rarefaction       0 13.115675 11.7649332
483        BE21 0.78513848   42   Rarefaction       0 19.201213 17.4051099
484        BE21 0.86027063   63   Rarefaction       0 22.873653 20.7052589
485        BE21 0.89945220   83   Rarefaction       0 25.261994 22.7513436
486        BE21 0.92460260  104   Rarefaction       0 27.101914 24.2460056
487        BE21 0.94107230  125   Rarefaction       0 28.509441 25.3341425
488        BE21 0.95207513  145   Rarefaction       0 29.577592 26.1319295
489        BE21 0.96053051  166   Rarefaction       0 30.494988 26.7994357
490        BE21 0.96685128  187   Rarefaction       0 31.257565 27.3341630
491        BE21 0.97147344  207   Rarefaction       0 31.874714 27.7404080
492        BE21 0.97525788  228   Rarefaction       0 32.434286 28.0849694
493        BE21 0.97822502  249   Rarefaction       0 32.922968 28.3711793
494        BE21 0.98047226  269   Rarefaction       0 33.336297 28.4908245
495        BE21 0.98235909  290   Rarefaction       0 33.726760 28.5808970
496        BE21 0.98385983  311   Rarefaction       0 34.081607 28.6509271
497        BE21 0.98499541  331   Rarefaction       0 34.393189 28.7346518
498        BE21 0.98592822  352   Rarefaction       0 34.698527 28.7912051
499        BE21 0.98663102  372   Rarefaction       0 34.979736 28.8511928
500        BE21 0.98665963  374      Observed       0 35.000000 28.8604266
501        BE21 0.98668818  375 Extrapolation       0 35.013340 28.8667671
502        BE21 0.98721918  394 Extrapolation       0 35.261452 28.9333761
503        BE21 0.98775527  414 Extrapolation       0 35.511937 28.9861701
504        BE21 0.98824370  433 Extrapolation       0 35.740160 29.0240948
505        BE21 0.98873682  453 Extrapolation       0 35.970566 29.0536438
506        BE21 0.98920924  473 Extrapolation       0 36.191308 29.0747448
507        BE21 0.98963968  492 Extrapolation       0 36.392431 29.0883720
508        BE21 0.99007424  512 Extrapolation       0 36.595478 29.0966769
509        BE21 0.99049057  532 Extrapolation       0 36.790008 29.1000827
510        BE21 0.99086990  551 Extrapolation       0 36.967249 29.0998837
511        BE21 0.99125286  571 Extrapolation       0 37.146186 29.0971913
512        BE21 0.99160178  590 Extrapolation       0 37.309219 29.0934416
513        BE21 0.99195403  610 Extrapolation       0 37.473812 29.0896821
514        BE21 0.99229152  630 Extrapolation       0 37.631501 29.0861727
515        BE21 0.99259901  649 Extrapolation       0 37.775175 29.0805588
516        BE21 0.99290944  669 Extrapolation       0 37.920223 29.0728305
517        BE21 0.99320685  689 Extrapolation       0 38.059188 29.0635816
518        BE21 0.99347782  708 Extrapolation       0 38.185802 29.0536582
519        BE21 0.99375139  728 Extrapolation       0 38.313627 29.0422588
520        BE21 0.99401349  748 Extrapolation       0 38.436091 29.0300926
521        BE22 0.11389760    1   Rarefaction       0  1.000000  0.9043025
522        BE22 0.63383206   13   Rarefaction       0  7.899470  6.7543491
523        BE22 0.78484421   26   Rarefaction       0 11.603773  9.9750728
524        BE22 0.85155042   39   Rarefaction       0 13.950398 11.9525976
525        BE22 0.88736372   52   Rarefaction       0 15.644976 13.4054151
526        BE22 0.90852845   64   Rarefaction       0 16.872635 14.4908587
527        BE22 0.92504806   77   Rarefaction       0 17.957382 15.4832457
528        BE22 0.93770177   90   Rarefaction       0 18.852568 16.3314177
529        BE22 0.94781145  103   Rarefaction       0 19.599491 17.0553759
530        BE22 0.95605909  116   Rarefaction       0 20.226704 17.6631268
531        BE22 0.96237501  128   Rarefaction       0 20.718152 18.1246751
532        BE22 0.96807363  141   Rarefaction       0 21.171920 18.5019019
533        BE22 0.97278365  154   Rarefaction       0 21.557731 18.4503544
534        BE22 0.97666412  167   Rarefaction       0 21.887441 17.9862415
535        BE22 0.97961802  179   Rarefaction       0 22.150670 17.4889216
536        BE22 0.98223039  192   Rarefaction       0 22.399347 16.9965973
537        BE22 0.98430687  205   Rarefaction       0 22.617351 16.6009914
538        BE22 0.98590600  218   Rarefaction       0 22.811278 16.3124452
539        BE22 0.98706897  231   Rarefaction       0 22.983640 16.1330838
540        BE22 0.98714318  232      Observed       0 23.000000 16.1279749
541        BE22 0.98721696  233 Extrapolation       0 23.012857 16.1199220
542        BE22 0.98807002  245 Extrapolation       0 23.161503 16.0146008
543        BE22 0.98886616  257 Extrapolation       0 23.300229 15.9137549
544        BE22 0.98960916  269 Extrapolation       0 23.429698 15.8179799
545        BE22 0.99030258  281 Extrapolation       0 23.550527 15.7274707
546        BE22 0.99094973  293 Extrapolation       0 23.663292 15.6423104
547        BE22 0.99155369  305 Extrapolation       0 23.768532 15.5623729
548        BE22 0.99216258  318 Extrapolation       0 23.874632 15.4807318
549        BE22 0.99268560  330 Extrapolation       0 23.965768 15.4096410
550        BE22 0.99317372  342 Extrapolation       0 24.050823 15.3425363
551        BE22 0.99362927  354 Extrapolation       0 24.130201 15.2792808
552        BE22 0.99405441  366 Extrapolation       0 24.204283 15.2197268
553        BE22 0.99445118  378 Extrapolation       0 24.273420 15.1637141
554        BE22 0.99485120  391 Extrapolation       0 24.343123 15.1068420
555        BE22 0.99519480  403 Extrapolation       0 24.402995 15.0576847
556        BE22 0.99551547  415 Extrapolation       0 24.458872 15.0115857
557        BE22 0.99581474  427 Extrapolation       0 24.511020 14.9682731
558        BE22 0.99609404  439 Extrapolation       0 24.559688 14.9278005
559        BE22 0.99635470  451 Extrapolation       0 24.605108 14.8898168
560        BE22 0.99661749  464 Extrapolation       0 24.650899 14.8513737
561        BE23 0.14398109    1   Rarefaction       0  1.000000  0.8874977
562        BE23 0.67438601   13   Rarefaction       0  7.303659  6.1860508
563        BE23 0.80211093   25   Rarefaction       0 10.396892  8.8781579
564        BE23 0.86004708   37   Rarefaction       0 12.413750 10.5514050
565        BE23 0.89180865   49   Rarefaction       0 13.902559 11.7320791
566        BE23 0.91378586   62   Rarefaction       0 15.168012 12.7005297
567        BE23 0.92844610   74   Rarefaction       0 16.118073 13.4017160
568        BE23 0.93994475   86   Rarefaction       0 16.910939 13.9541238
569        BE23 0.94924853   98   Rarefaction       0 17.578553 14.3714626
570        BE23 0.95743028  111   Rarefaction       0 18.187332 14.6647252
571        BE23 0.96355586  123   Rarefaction       0 18.663241 14.6802383
572        BE23 0.96853028  135   Rarefaction       0 19.072158 13.9242528
573        BE23 0.97251859  147   Rarefaction       0 19.426952 13.1924128
574        BE23 0.97565663  159   Rarefaction       0 19.738685 12.5844697
575        BE23 0.97822831  172   Rarefaction       0 20.038857 12.1181397
576        BE23 0.97993955  184   Rarefaction       0 20.290118 11.8423966
577        BE23 0.98109522  196   Rarefaction       0 20.523969 11.7149119
578        BE23 0.98175904  208   Rarefaction       0 20.746715 11.7319888
579        BE23 0.98198198  220   Rarefaction       0 20.968406 11.8899472
580        BE23 0.98203617  222      Observed       0 21.000000 11.9044825
581        BE23 0.98209020  223 Extrapolation       0 21.017964 11.9054351
582        BE23 0.98267387  234 Extrapolation       0 21.212036 11.9159907
583        BE23 0.98328894  246 Extrapolation       0 21.416544 11.9239121
584        BE23 0.98383354  257 Extrapolation       0 21.597627 11.9291608
585        BE23 0.98440744  269 Extrapolation       0 21.788447 11.9330459
586        BE23 0.98496096  281 Extrapolation       0 21.972493 11.9353484
587        BE23 0.98545108  292 Extrapolation       0 22.135458 11.9363514
588        BE23 0.98596756  304 Extrapolation       0 22.307185 11.9365593
589        BE23 0.98646570  316 Extrapolation       0 22.472817 11.9360690
590        BE23 0.98690678  327 Extrapolation       0 22.619476 11.9357852
591        BE23 0.98737157  339 Extrapolation       0 22.774021 11.9343387
592        BE23 0.98778313  350 Extrapolation       0 22.910864 11.9323701
593        BE23 0.98821682  362 Extrapolation       0 23.055065 11.9296573
594        BE23 0.98863511  374 Extrapolation       0 23.194148 11.9264887
595        BE23 0.98900549  385 Extrapolation       0 23.317299 11.9232980
596        BE23 0.98939579  397 Extrapolation       0 23.447072 11.9196317
597        BE23 0.98977223  409 Extrapolation       0 23.572239 11.9159290
598        BE23 0.99010555  420 Extrapolation       0 23.683068 11.9126804
599        BE23 0.99045679  432 Extrapolation       0 23.799857 11.9096269
600        BE23 0.99079557  444 Extrapolation       0 23.912500 11.9080143
601        BE24 0.32822193    1   Rarefaction       0  1.000001  0.8715167
602        BE24 0.76899938   18   Rarefaction       0  6.864984  5.3556859
603        BE24 0.85329053   35   Rarefaction       0 10.030666  8.2371174
604        BE24 0.89676414   52   Rarefaction       0 12.141488 10.1609939
605        BE24 0.92253699   69   Rarefaction       0 13.673474 11.5518527
606        BE24 0.94020765   87   Rarefaction       0 14.906928 12.6553413
607        BE24 0.95179681  104   Rarefaction       0 15.825389 13.4650733
608        BE24 0.96036233  121   Rarefaction       0 16.572932 14.1210008
609        BE24 0.96694561  138   Rarefaction       0 17.191822 14.6670865
610        BE24 0.97243795  156   Rarefaction       0 17.738221 15.1557142
611        BE24 0.97662723  173   Rarefaction       0 18.172099 15.5489634
612        BE24 0.98009597  190   Rarefaction       0 18.540800 15.8801423
613        BE24 0.98300766  207   Rarefaction       0 18.855179 16.1295506
614        BE24 0.98547700  224   Rarefaction       0 19.123735 16.2260892
615        BE24 0.98770162  242   Rarefaction       0 19.365698 16.2154486
616        BE24 0.98949886  259   Rarefaction       0 19.560013 16.0735170
617        BE24 0.99104790  276   Rarefaction       0 19.725817 15.8891794
618        BE24 0.99238278  293   Rarefaction       0 19.867040 15.6979208
619        BE24 0.99358974  310   Rarefaction       0 19.989164 15.4965812
620        BE24 0.99365099  312      Observed       0 20.000000 15.4910086
621        BE24 0.99371165  313 Extrapolation       0 20.006349 15.4812620
622        BE24 0.99460702  329 Extrapolation       0 20.100065 15.3234349
623        BE24 0.99537491  345 Extrapolation       0 20.180437 15.1795249
624        BE24 0.99607135  362 Extrapolation       0 20.253331 15.0425773
625        BE24 0.99663074  378 Extrapolation       0 20.311880 14.9283303
626        BE24 0.99711047  394 Extrapolation       0 20.362093 14.8275920
627        BE24 0.99754558  411 Extrapolation       0 20.407634 14.7345074
628        BE24 0.99789505  427 Extrapolation       0 20.444212 14.6586204
629        BE24 0.99819477  443 Extrapolation       0 20.475582 14.5927652
630        BE24 0.99846660  460 Extrapolation       0 20.504034 14.5324303
631        BE24 0.99868493  476 Extrapolation       0 20.526886 14.4835569
632        BE24 0.99888296  493 Extrapolation       0 20.547613 14.4389145
633        BE24 0.99904201  509 Extrapolation       0 20.564260 14.4028404
634        BE24 0.99917841  525 Extrapolation       0 20.578537 14.3717486
635        BE24 0.99930213  542 Extrapolation       0 20.591486 14.3434255
636        BE24 0.99940149  558 Extrapolation       0 20.601886 14.3205901
637        BE24 0.99948671  574 Extrapolation       0 20.610806 14.3009454
638        BE24 0.99956400  591 Extrapolation       0 20.618896 14.2830782
639        BE24 0.99962608  607 Extrapolation       0 20.625393 14.2686928
640        BE24 0.99968239  624 Extrapolation       0 20.631286 14.2556191
641        BE25 0.11156453    1   Rarefaction       0  1.000004  0.8841167
642        BE25 0.61809147   14   Rarefaction       0  8.523517  7.1790837
643        BE25 0.75669055   27   Rarefaction       0 12.536061 10.6580618
644        BE25 0.82406428   40   Rarefaction       0 15.249263 12.8913822
645        BE25 0.86210389   53   Rarefaction       0 17.287510 14.5234570
646        BE25 0.88616946   66   Rarefaction       0 18.925221 15.8338064
647        BE25 0.90276711   79   Rarefaction       0 20.299448 16.9529024
648        BE25 0.91496256   92   Rarefaction       0 21.486615 17.9438628
649        BE25 0.92436761  105   Rarefaction       0 22.533260 18.8368970
650        BE25 0.93191280  118   Rarefaction       0 23.469567 19.6446029
651        BE25 0.93817443  131   Rarefaction       0 24.315981 20.3691754
652        BE25 0.94352879  144   Rarefaction       0 25.086767 21.0069141
653        BE25 0.94823277  157   Rarefaction       0 25.792079 21.5580237
654        BE25 0.95246863  170   Rarefaction       0 26.439213 22.0371740
655        BE25 0.95636962  183   Rarefaction       0 27.033413 22.4492034
656        BE25 0.96003419  196   Rarefaction       0 27.578409 22.7613152
657        BE25 0.96353391  209   Rarefaction       0 28.076820 22.8960973
658        BE25 0.96691767  222   Rarefaction       0 28.530470 22.7911307
659        BE25 0.97046414  236   Rarefaction       0 28.967217 22.4178813
660        BE25 0.97071234  237      Observed       0 29.000000 22.3864054
661        BE25 0.97095845  238 Extrapolation       0 29.029288 22.3514298
662        BE25 0.97375538  250 Extrapolation       0 29.362122 21.9052497
663        BE25 0.97628294  262 Extrapolation       0 29.662902 21.4396033
664        BE25 0.97874718  275 Extrapolation       0 29.956147 20.9436307
665        BE25 0.98079400  287 Extrapolation       0 30.199717 20.5052806
666        BE25 0.98278953  300 Extrapolation       0 30.437187 20.0590823
667        BE25 0.98444704  312 Extrapolation       0 30.634429 19.6762782
668        BE25 0.98594491  324 Extrapolation       0 30.812676 19.3219891
669        BE25 0.98740526  337 Extrapolation       0 30.986458 18.9681395
670        BE25 0.98861823  349 Extrapolation       0 31.130801 18.6728198
671        BE25 0.98980081  362 Extrapolation       0 31.271529 18.3802251
672        BE25 0.99078308  374 Extrapolation       0 31.388418 18.1350352
673        BE25 0.99174073  387 Extrapolation       0 31.502379 17.8938503
674        BE25 0.99253616  399 Extrapolation       0 31.597035 17.6930569
675        BE25 0.99325499  411 Extrapolation       0 31.682576 17.5103816
676        BE25 0.99395581  424 Extrapolation       0 31.765973 17.3315391
677        BE25 0.99453791  436 Extrapolation       0 31.835243 17.1824585
678        BE25 0.99510543  449 Extrapolation       0 31.902778 17.0366684
679        BE25 0.99557682  461 Extrapolation       0 31.958873 16.9152528
680        BE25 0.99603639  474 Extrapolation       0 32.013563 16.7966071
681        BE26 0.17649032    1   Rarefaction       0  1.000011  0.8681229
682        BE26 0.71248632   17   Rarefaction       0  8.294866  7.0966089
683        BE26 0.82161090   34   Rarefaction       0 12.173888 10.6060281
684        BE26 0.87302787   51   Rarefaction       0 14.750612 12.8504866
685        BE26 0.90285857   68   Rarefaction       0 16.650579 14.4918133
686        BE26 0.92223509   85   Rarefaction       0 18.136340 15.7913121
687        BE26 0.93573896  102   Rarefaction       0 19.343969 16.8637966
688        BE26 0.94510913  118   Rarefaction       0 20.298432 17.7190836
689        BE26 0.95270880  135   Rarefaction       0 21.167954 18.5001455
690        BE26 0.95862308  152   Rarefaction       0 21.922608 19.1759219
691        BE26 0.96334193  169   Rarefaction       0 22.586843 19.7649758
692        BE26 0.96719787  186   Rarefaction       0 23.178151 20.2799286
693        BE26 0.97042646  203   Rarefaction       0 23.709207 20.7286219
694        BE26 0.97304684  219   Rarefaction       0 24.162274 21.0924500
695        BE26 0.97550935  236   Rarefaction       0 24.600382 21.4082343
696        BE26 0.97773520  253   Rarefaction       0 24.998639 21.5886320
697        BE26 0.97979580  270   Rarefaction       0 25.360463 21.6220882
698        BE26 0.98174177  287   Rarefaction       0 25.688233 21.4665804
699        BE26 0.98360656  303   Rarefaction       0 25.973329 21.1905843
700        BE26 0.98371370  305      Observed       0 26.000000 21.1840568
701        BE26 0.98382015  306 Extrapolation       0 26.016286 21.1664835
702        BE26 0.98543170  322 Extrapolation       0 26.262853 20.8746049
703        BE26 0.98688273  338 Extrapolation       0 26.484861 20.5817993
704        BE26 0.98818924  354 Extrapolation       0 26.684756 20.3077512
705        BE26 0.98936561  370 Extrapolation       0 26.864742 20.0416590
706        BE26 0.99042482  386 Extrapolation       0 27.026800 19.7902348
707        BE26 0.99137853  402 Extrapolation       0 27.172718 19.5554205
708        BE26 0.99223724  418 Extrapolation       0 27.304101 19.3383110
709        BE26 0.99301043  434 Extrapolation       0 27.422399 19.1393256
710        BE26 0.99370660  450 Extrapolation       0 27.528914 18.9594194
711        BE26 0.99433344  466 Extrapolation       0 27.624819 18.7959996
712        BE26 0.99489784  482 Extrapolation       0 27.711173 18.6470460
713        BE26 0.99540602  498 Extrapolation       0 27.788925 18.5115726
714        BE26 0.99586359  514 Extrapolation       0 27.858933 18.3885678
715        BE26 0.99627559  530 Extrapolation       0 27.921968 18.2770338
716        BE26 0.99664655  546 Extrapolation       0 27.978725 18.1760097
717        BE26 0.99698056  562 Extrapolation       0 28.029829 18.0845854
718        BE26 0.99728130  578 Extrapolation       0 28.075842 18.0019082
719        BE26 0.99755209  594 Extrapolation       0 28.117273 17.9271859
720        BE26 0.99779591  610 Extrapolation       0 28.154577 17.8596868
721        BE27 0.08308635    1   Rarefaction       0  1.000004  0.9219737
722        BE27 0.62880853   18   Rarefaction       0 10.875745  9.4794987
723        BE27 0.76764436   35   Rarefaction       0 15.893032 13.6774282
724        BE27 0.82946971   52   Rarefaction       0 19.289492 16.3399836
725        BE27 0.86321009   69   Rarefaction       0 21.893523 18.3033600
726        BE27 0.88522295   87   Rarefaction       0 24.154245 19.9870995
727        BE27 0.89941483  104   Rarefaction       0 25.985423 21.3590808
728        BE27 0.91002167  121   Rarefaction       0 27.606655 22.5855746
729        BE27 0.91842870  138   Rarefaction       0 29.066563 23.6943336
730        BE27 0.92575202  156   Rarefaction       0 30.470592 24.7546840
731        BE27 0.93160818  173   Rarefaction       0 31.684711 25.6576217
732        BE27 0.93667686  190   Rarefaction       0 32.805833 26.4712968
733        BE27 0.94110356  207   Rarefaction       0 33.846082 27.1985616
734        BE27 0.94498420  224   Rarefaction       0 34.815560 27.8343374
735        BE27 0.94857320  242   Rarefaction       0 35.774586 28.4140911
736        BE27 0.95152591  259   Rarefaction       0 36.624651 28.8972794
737        BE27 0.95409683  276   Rarefaction       0 37.427632 29.3277421
738        BE27 0.95632134  293   Rarefaction       0 38.189723 29.7442807
739        BE27 0.95833333  310   Rarefaction       0 38.917532 30.1529411
740        BE27 0.95843614  312      Observed       0 39.000000 30.2216212
741        BE27 0.95853869  313 Extrapolation       0 39.041564 30.2402495
742        BE27 0.96014551  329 Extrapolation       0 39.692809 30.6313309
743        BE27 0.96169006  345 Extrapolation       0 40.318816 31.0116228
744        BE27 0.96326561  362 Extrapolation       0 40.957387 31.3844022
745        BE27 0.96468925  378 Extrapolation       0 41.534385 31.7069626
746        BE27 0.96605771  394 Extrapolation       0 42.089022 32.0032573
747        BE27 0.96745363  411 Extrapolation       0 42.654791 32.2937359
748        BE27 0.96871496  427 Extrapolation       0 43.166006 32.5465467
749        BE27 0.96992740  443 Extrapolation       0 43.657410 32.7785972
750        BE27 0.97116418  460 Extrapolation       0 44.158677 33.0033625
751        BE27 0.97228171  476 Extrapolation       0 44.611610 33.2008578
752        BE27 0.97342166  493 Extrapolation       0 45.073633 33.3920015
753        BE27 0.97445170  509 Extrapolation       0 45.491107 33.5519853
754        BE27 0.97544182  525 Extrapolation       0 45.892402 33.7104715
755        BE27 0.97645181  542 Extrapolation       0 46.301752 33.8599110
756        BE27 0.97736441  558 Extrapolation       0 46.671630 33.9894447
757        BE27 0.97824165  574 Extrapolation       0 47.027174 34.1092622
758        BE27 0.97913649  591 Extrapolation       0 47.389854 34.2270967
759        BE27 0.97994505  607 Extrapolation       0 47.717564 34.3298770
760        BE27 0.98076984  624 Extrapolation       0 48.051851 34.4298754
761        BE28 0.07690575    1   Rarefaction       0  1.000000  0.9499985
762        BE28 0.59781719   15   Rarefaction       0  9.699110  8.4218380
763        BE28 0.76084622   30   Rarefaction       0 14.392766 12.3171599
764        BE28 0.83276122   45   Rarefaction       0 17.418907 14.8298760
765        BE28 0.87147042   59   Rarefaction       0 19.488163 16.5664383
766        BE28 0.89842546   74   Rarefaction       0 21.213805 18.0305590
767        BE28 0.91688642   89   Rarefaction       0 22.600171 19.2158800
768        BE28 0.93019342  104   Rarefaction       0 23.748697 20.1988947
769        BE28 0.93961588  118   Rarefaction       0 24.662034 20.9773918
770        BE28 0.94754955  133   Rarefaction       0 25.509952 21.6920572
771        BE28 0.95390878  148   Rarefaction       0 26.250541 22.2947120
772        BE28 0.95879774  162   Rarefaction       0 26.863021 22.7383095
773        BE28 0.96316970  177   Rarefaction       0 27.449457 22.8979786
774        BE28 0.96681914  192   Rarefaction       0 27.975553 22.6194400
775        BE28 0.96986874  207   Rarefaction       0 28.451233 22.2800129
776        BE28 0.97225314  221   Rarefaction       0 28.857092 21.9459872
777        BE28 0.97437953  236   Rarefaction       0 29.257897 21.6158436
778        BE28 0.97612038  251   Rarefaction       0 29.629572 21.3461521
779        BE28 0.97752809  265   Rarefaction       0 29.963526 21.1515485
780        BE28 0.97761225  267      Observed       0 30.000000 21.1563689
781        BE28 0.97769610  268 Extrapolation       0 30.022388 21.1470052
782        BE28 0.97883755  282 Extrapolation       0 30.327153 21.0117249
783        BE28 0.97992058  296 Extrapolation       0 30.616322 20.8786549
784        BE28 0.98094818  310 Extrapolation       0 30.890692 20.7524559
785        BE28 0.98192319  324 Extrapolation       0 31.151020 20.6397424
786        BE28 0.98284831  338 Extrapolation       0 31.398026 20.5270435
787        BE28 0.98372608  352 Extrapolation       0 31.632391 20.4141964
788        BE28 0.98455893  366 Extrapolation       0 31.854761 20.3024396
789        BE28 0.98534915  380 Extrapolation       0 32.065752 20.1925774
790        BE28 0.98609894  394 Extrapolation       0 32.265944 20.0843537
791        BE28 0.98681035  408 Extrapolation       0 32.455891 19.9781605
792        BE28 0.98748536  422 Extrapolation       0 32.636118 19.8744419
793        BE28 0.98812582  436 Extrapolation       0 32.807121 19.7735253
794        BE28 0.98873350  450 Extrapolation       0 32.969372 19.6751831
795        BE28 0.98931008  464 Extrapolation       0 33.123321 19.5810149
796        BE28 0.98985716  478 Extrapolation       0 33.269390 19.4897230
797        BE28 0.99037624  492 Extrapolation       0 33.407984 19.4018202
798        BE28 0.99086875  506 Extrapolation       0 33.539485 19.3173151
799        BE28 0.99133606  520 Extrapolation       0 33.664257 19.2361853
800        BE28 0.99177946  534 Extrapolation       0 33.782643 19.1583869
801        BE29 0.10471721    1   Rarefaction       0  1.000000  0.9071795
802        BE29 0.63849125   14   Rarefaction       0  8.453725  7.4308886
803        BE29 0.78373281   27   Rarefaction       0 12.155710 10.8690761
804        BE29 0.86120259   41   Rarefaction       0 14.623939 13.1442690
805        BE29 0.90181055   54   Rarefaction       0 16.162183 14.5632050
806        BE29 0.92664943   67   Rarefaction       0 17.277252 15.5867474
807        BE29 0.94368648   81   Rarefaction       0 18.184816 16.4118938
808        BE29 0.95436775   94   Rarefaction       0 18.848822 17.0060794
809        BE29 0.96261576  108   Rarefaction       0 19.431023 17.4958628
810        BE29 0.96837592  121   Rarefaction       0 19.880895 17.8326724
811        BE29 0.97292530  134   Rarefaction       0 20.263634 18.0773928
812        BE29 0.97688041  148   Rarefaction       0 20.616016 18.2399862
813        BE29 0.97991798  161   Rarefaction       0 20.897785 18.2821198
814        BE29 0.98268381  175   Rarefaction       0 21.160430 18.2787454
815        BE29 0.98489608  188   Rarefaction       0 21.371946 18.2049365
816        BE29 0.98684432  201   Rarefaction       0 21.556356 18.1029286
817        BE29 0.98870945  215   Rarefaction       0 21.728161 17.9724211
818        BE29 0.99026362  228   Rarefaction       0 21.865444 17.8343440
819        BE29 0.99176955  242   Rarefaction       0 21.988576 17.6759654
820        BE29 0.99187033  243      Observed       0 22.000000 17.6686047
821        BE29 0.99196988  244 Extrapolation       0 22.008130 17.6573342
822        BE29 0.99307350  256 Extrapolation       0 22.098259 17.5283454
823        BE29 0.99409861  269 Extrapolation       0 22.181976 17.4020350
824        BE29 0.99497200  282 Extrapolation       0 22.253303 17.2900134
825        BE29 0.99566303  294 Extrapolation       0 22.309737 17.1991023
826        BE29 0.99630489  307 Extrapolation       0 22.362156 17.1135837
827        BE29 0.99685176  320 Extrapolation       0 22.406817 17.0391975
828        BE29 0.99731769  333 Extrapolation       0 22.444868 16.9746654
829        BE29 0.99768634  345 Extrapolation       0 22.474974 16.9228635
830        BE29 0.99802876  358 Extrapolation       0 22.502938 16.8741621
831        BE29 0.99832050  371 Extrapolation       0 22.526764 16.8322223
832        BE29 0.99856906  384 Extrapolation       0 22.547063 16.7961644
833        BE29 0.99876572  396 Extrapolation       0 22.563124 16.7674224
834        BE29 0.99894839  409 Extrapolation       0 22.578042 16.7405554
835        BE29 0.99910403  422 Extrapolation       0 22.590752 16.7175316
836        BE29 0.99923663  435 Extrapolation       0 22.601581 16.6978204
837        BE29 0.99934154  447 Extrapolation       0 22.610149 16.6821601
838        BE29 0.99943899  460 Extrapolation       0 22.618108 16.6675633
839        BE29 0.99952202  473 Extrapolation       0 22.624888 16.6550871
840        BE29 0.99959276  486 Extrapolation       0 22.630665 16.6444291
841         BE3 0.04497226    1   Rarefaction       0  1.000000  0.9459555
842         BE3 0.48867636   17   Rarefaction       0 12.399452 10.5988569
843         BE3 0.67624361   33   Rarefaction       0 18.989246 16.5166665
844         BE3 0.77350764   49   Rarefaction       0 23.367749 20.5403203
845         BE3 0.83240496   65   Rarefaction       0 26.515116 23.4400119
846         BE3 0.87322655   82   Rarefaction       0 29.013963 25.7173818
847         BE3 0.89936903   98   Rarefaction       0 30.833873 27.3370453
848         BE3 0.91784320  114   Rarefaction       0 32.297182 28.5983232
849         BE3 0.93118731  130   Rarefaction       0 33.506063 29.6065117
850         BE3 0.94158892  147   Rarefaction       0 34.588195 30.4814551
851         BE3 0.94897040  163   Rarefaction       0 35.464881 31.1645891
852         BE3 0.95475163  179   Rarefaction       0 36.236231 31.7295621
853         BE3 0.95940849  195   Rarefaction       0 36.924029 32.1650985
854         BE3 0.96325862  211   Rarefaction       0 37.543707 32.4013776
855         BE3 0.96670337  228   Rarefaction       0 38.139947 32.3627538
856         BE3 0.96948973  244   Rarefaction       0 38.651286 32.1253641
857         BE3 0.97193655  260   Rarefaction       0 39.120701 31.8095798
858         BE3 0.97411467  276   Rarefaction       0 39.553061 31.5058289
859         BE3 0.97619048  292   Rarefaction       0 39.958056 31.1948469
860         BE3 0.97630600  294      Observed       0 40.000000 31.1983763
861         BE3 0.97642096  295 Extrapolation       0 40.023694 31.1825486
862         BE3 0.97807997  310 Extrapolation       0 40.365616 30.9438687
863         BE3 0.97962226  325 Extrapolation       0 40.683480 30.6994339
864         BE3 0.98114794  341 Extrapolation       0 40.997924 30.4477967
865         BE3 0.98247436  356 Extrapolation       0 41.271299 30.2160268
866         BE3 0.98378651  372 Extrapolation       0 41.541733 29.9818847
867         BE3 0.98492728  387 Extrapolation       0 41.776846 29.7719342
868         BE3 0.98598779  402 Extrapolation       0 41.995417 29.5741874
869         BE3 0.98703689  418 Extrapolation       0 42.211636 29.3875791
870         BE3 0.98794897  433 Extrapolation       0 42.399615 29.2221205
871         BE3 0.98885123  449 Extrapolation       0 42.585572 29.0530593
872         BE3 0.98963565  464 Extrapolation       0 42.747241 28.9020376
873         BE3 0.99041163  480 Extrapolation       0 42.907170 28.7491538
874         BE3 0.99108626  495 Extrapolation       0 43.046212 28.6135426
875         BE3 0.99171343  510 Extrapolation       0 43.175471 28.4853473
876         BE3 0.99233385  526 Extrapolation       0 43.303339 28.3566166
877         BE3 0.99287323  541 Extrapolation       0 43.414507 28.2432206
878         BE3 0.99340682  557 Extrapolation       0 43.524478 28.1297539
879         BE3 0.99387071  572 Extrapolation       0 43.620086 28.0301245
880         BE3 0.99432961  588 Extrapolation       0 43.714666 27.9307073
881        BE30 0.13675934    1   Rarefaction       0  1.000017  0.8840622
882        BE30 0.69084723   15   Rarefaction       0  8.070299  6.7835703
883        BE30 0.81206004   30   Rarefaction       0 11.723176 10.0310892
884        BE30 0.86776595   45   Rarefaction       0 14.106033 11.9641925
885        BE30 0.89591355   59   Rarefaction       0 15.756408 13.0848020
886        BE30 0.91348925   74   Rarefaction       0 17.183197 13.8400144
887        BE30 0.92418871   89   Rarefaction       0 18.399835 14.2930222
888        BE30 0.93076970  103   Rarefaction       0 19.415609 14.5608041
889        BE30 0.93575362  118   Rarefaction       0 20.417180 14.8044089
890        BE30 0.93949814  133   Rarefaction       0 21.353510 15.0471320
891        BE30 0.94233593  147   Rarefaction       0 22.181531 15.2426113
892        BE30 0.94495353  162   Rarefaction       0 23.027748 15.2344429
893        BE30 0.94729956  177   Rarefaction       0 23.836757 15.1086227
894        BE30 0.94932979  191   Rarefaction       0 24.561220 14.9477444
895        BE30 0.95138528  206   Rarefaction       0 25.306752 14.6760386
896        BE30 0.95334522  221   Rarefaction       0 26.022146 14.2709835
897        BE30 0.95510129  235   Rarefaction       0 26.663822 13.8493076
898        BE30 0.95691039  250   Rarefaction       0 27.324547 13.3751754
899        BE30 0.95864662  264   Rarefaction       0 27.935277 12.8729352
900        BE30 0.95875980  266      Observed       0 28.000000 12.8640665
901        BE30 0.95887267  267 Extrapolation       0 28.041240 12.8321660
902        BE30 0.96031218  280 Extrapolation       0 28.567203 12.4193699
903        BE30 0.96180613  294 Extrapolation       0 29.113055 11.9817196
904        BE30 0.96324385  308 Extrapolation       0 29.638360 11.5545123
905        BE30 0.96462744  322 Extrapolation       0 30.143891 11.1378442
906        BE30 0.96595896  336 Extrapolation       0 30.630393 10.7350491
907        BE30 0.96724035  350 Extrapolation       0 31.098582 10.3466878
908        BE30 0.96847351  364 Extrapolation       0 31.549146  9.9691102
909        BE30 0.96966024  378 Extrapolation       0 31.982751  9.6025706
910        BE30 0.97080231  392 Extrapolation       0 32.400033  9.2463043
911        BE30 0.97190138  406 Extrapolation       0 32.801608  8.9004657
912        BE30 0.97295909  420 Extrapolation       0 33.188066  8.5653510
913        BE30 0.97397698  434 Extrapolation       0 33.559977  8.2410330
914        BE30 0.97495655  448 Extrapolation       0 33.917889  7.9262168
915        BE30 0.97589925  462 Extrapolation       0 34.262327  7.6200371
916        BE30 0.97680646  476 Extrapolation       0 34.593801  7.3221108
917        BE30 0.97767953  490 Extrapolation       0 34.912796  7.0323128
918        BE30 0.97851973  504 Extrapolation       0 35.219784  6.7511572
919        BE30 0.97932830  518 Extrapolation       0 35.515216  6.4787254
920        BE30 0.98010643  532 Extrapolation       0 35.799528  6.2148843
921         BE4 0.06215005    1   Rarefaction       0  1.000000  0.9628399
922         BE4 0.67668576   23   Rarefaction       0 13.387599 12.0848474
923         BE4 0.83245343   46   Rarefaction       0 18.785703 17.0817857
924         BE4 0.89425700   69   Rarefaction       0 21.872317 19.9444788
925         BE4 0.92632697   92   Rarefaction       0 23.916708 21.7680554
926         BE4 0.94533766  115   Rarefaction       0 25.384883 22.9200466
927         BE4 0.95755552  138   Rarefaction       0 26.498154 23.5371925
928         BE4 0.96584106  161   Rarefaction       0 27.377437 23.4920278
929         BE4 0.97167392  184   Rarefaction       0 28.095194 23.0048732
930         BE4 0.97589497  207   Rarefaction       0 28.697752 22.5975975
931         BE4 0.97901707  230   Rarefaction       0 29.216085 22.2571468
932         BE4 0.98136906  253   Rarefaction       0 29.671586 21.9474905
933         BE4 0.98316847  276   Rarefaction       0 30.079406 21.7008114
934         BE4 0.98456145  299   Rarefaction       0 30.450540 21.5467743
935         BE4 0.98564665  322   Rarefaction       0 30.793173 21.4763187
936         BE4 0.98649055  345   Rarefaction       0 31.113604 21.4690506
937         BE4 0.98713778  368   Rarefaction       0 31.416859 21.5181214
938         BE4 0.98761825  391   Rarefaction       0 31.707107 21.6208986
939         BE4 0.98795181  413   Rarefaction       0 31.977116 21.7682527
940         BE4 0.98796344  415      Observed       0 32.000000 21.7859611
941         BE4 0.98797506  416 Extrapolation       0 32.012037 21.7939623
942         BE4 0.98821647  437 Extrapolation       0 32.262138 21.9520206
943         BE4 0.98846418  459 Extrapolation       0 32.518765 22.1123396
944         BE4 0.98870668  481 Extrapolation       0 32.769997 22.2688387
945         BE4 0.98894408  503 Extrapolation       0 33.015949 22.4217605
946         BE4 0.98916604  524 Extrapolation       0 33.245895 22.5646242
947         BE4 0.98939379  546 Extrapolation       0 33.481842 22.7112958
948         BE4 0.98961675  568 Extrapolation       0 33.712829 22.8552041
949         BE4 0.98983502  590 Extrapolation       0 33.938960 22.9967248
950         BE4 0.99004871  612 Extrapolation       0 34.160338 23.1363717
951         BE4 0.99024849  633 Extrapolation       0 34.367310 23.2686664
952         BE4 0.99045348  655 Extrapolation       0 34.579683 23.4070558
953         BE4 0.99065416  677 Extrapolation       0 34.787592 23.5423320
954         BE4 0.99085063  699 Extrapolation       0 34.991130 23.6739362
955         BE4 0.99104296  721 Extrapolation       0 35.190389 23.8019944
956         BE4 0.99122278  742 Extrapolation       0 35.376682 23.9210352
957         BE4 0.99140729  764 Extrapolation       0 35.567836 24.0425053
958         BE4 0.99158793  786 Extrapolation       0 35.754972 24.1607707
959         BE4 0.99176476  808 Extrapolation       0 35.938174 24.2759362
960         BE4 0.99193788  830 Extrapolation       0 36.117525 24.3881020
961         BE5 0.35176229    1   Rarefaction       0  1.000010  0.8363866
962         BE5 0.70561256   11   Rarefaction       0  4.931668  3.3304145
963         BE5 0.78940782   22   Rarefaction       0  7.721932  6.1185186
964         BE5 0.84680118   33   Rarefaction       0  9.731950  8.0581771
965         BE5 0.88639406   44   Rarefaction       0 11.206001  9.4291972
966         BE5 0.91396158   55   Rarefaction       0 12.308908 10.4119258
967         BE5 0.93336106   66   Rarefaction       0 13.152247 11.1247058
968         BE5 0.94715820   77   Rarefaction       0 13.812090 11.6455623
969         BE5 0.95706396   88   Rarefaction       0 14.340881 12.0210245
970         BE5 0.96423172   99   Rarefaction       0 14.775257 12.2667919
971         BE5 0.96945379  110   Rarefaction       0 15.141114 12.3253888
972         BE5 0.97328841  121   Rarefaction       0 15.456892 12.0910074
973         BE5 0.97613936  132   Rarefaction       0 15.735721 11.8015165
974         BE5 0.97830520  143   Rarefaction       0 15.986848 11.5681317
975         BE5 0.98000924  154   Rarefaction       0 16.216635 11.4017646
976         BE5 0.98141829  165   Rarefaction       0 16.429282 11.2695220
977         BE5 0.98265471  176   Rarefaction       0 16.627386 11.1630925
978         BE5 0.98380479  187   Rarefaction       0 16.812386 11.0657057
979         BE5 0.98492462  197   Rarefaction       0 16.974141 10.9684638
980         BE5 0.98502546  199      Observed       0 17.000000 10.9697580
981         BE5 0.98512563  200 Extrapolation       0 17.014975 10.9601230
982         BE5 0.98609115  210 Extrapolation       0 17.159320 10.8624012
983         BE5 0.98699399  220 Extrapolation       0 17.294296 10.7682573
984         BE5 0.98791959  231 Extrapolation       0 17.432672 10.6697049
985         BE5 0.98870375  241 Extrapolation       0 17.549904 10.5854218
986         BE5 0.98950766  252 Extrapolation       0 17.670089 10.4999322
987         BE5 0.99018874  262 Extrapolation       0 17.771910 10.4317776
988         BE5 0.99082560  272 Extrapolation       0 17.867121 10.3626882
989         BE5 0.99147851  283 Extrapolation       0 17.964731 10.2901169
990         BE5 0.99203166  293 Extrapolation       0 18.047426 10.2273959
991         BE5 0.99259874  304 Extrapolation       0 18.132205 10.1619525
992         BE5 0.99307917  314 Extrapolation       0 18.204029 10.1056389
993         BE5 0.99357170  325 Extrapolation       0 18.277662 10.0471243
994         BE5 0.99398897  335 Extrapolation       0 18.340044  9.9969903
995         BE5 0.99437916  345 Extrapolation       0 18.398377  9.9497512
996         BE5 0.99477917  356 Extrapolation       0 18.458180  9.9012584
997         BE5 0.99511806  366 Extrapolation       0 18.508844  9.8597341
998         BE5 0.99546549  377 Extrapolation       0 18.560785  9.8161269
999         BE5 0.99575984  387 Extrapolation       0 18.604789  9.7783337
1000        BE5 0.99606159  398 Extrapolation       0 18.649902  9.7393528
1001        BE6 0.16285967    1   Rarefaction       0  1.000012  0.8158267
1002        BE6 0.62516067   12   Rarefaction       0  6.975708  5.3492977
1003        BE6 0.74446801   23   Rarefaction       0 10.431181  8.2603062
1004        BE6 0.81486411   35   Rarefaction       0 13.070097 10.3472189
1005        BE6 0.85340244   46   Rarefaction       0 14.898257 11.6643244
1006        BE6 0.88068502   58   Rarefaction       0 16.496120 12.7368704
1007        BE6 0.89790083   69   Rarefaction       0 17.717361 13.5288852
1008        BE6 0.91153340   81   Rarefaction       0 18.863366 14.2772750
1009        BE6 0.92098748   92   Rarefaction       0 19.787110 14.8912527
1010        BE6 0.92910660  104   Rarefaction       0 20.688741 15.4886733
1011        BE6 0.93515474  115   Rarefaction       0 21.437317 15.9619303
1012        BE6 0.94024272  126   Rarefaction       0 22.124425 16.3439676
1013        BE6 0.94496635  138   Rarefaction       0 22.814778 16.6064664
1014        BE6 0.94869527  149   Rarefaction       0 23.401035 16.7519680
1015        BE6 0.95221972  161   Rarefaction       0 23.996785 16.8647853
1016        BE6 0.95501692  172   Rarefaction       0 24.508026 16.9125244
1017        BE6 0.95764300  184   Rarefaction       0 25.032957 16.9471140
1018        BE6 0.95968731  195   Rarefaction       0 25.488356 16.9859520
1019        BE6 0.96153846  207   Rarefaction       0 25.960598 17.0584932
1020        BE6 0.96167731  208      Observed       0 26.000000 17.0673021
1021        BE6 0.96181566  209 Extrapolation       0 26.038323 17.0766210
1022        BE6 0.96317198  219 Extrapolation       0 26.414022 17.1475300
1023        BE6 0.96460835  230 Extrapolation       0 26.811897 17.2139711
1024        BE6 0.96598870  241 Extrapolation       0 27.194253 17.2721055
1025        BE6 0.96731521  252 Extrapolation       0 27.561697 17.3235993
1026        BE6 0.96858998  263 Extrapolation       0 27.914810 17.3660606
1027        BE6 0.96981504  274 Extrapolation       0 28.254150 17.4014201
1028        BE6 0.97099232  285 Extrapolation       0 28.580256 17.4309922
1029        BE6 0.97212368  296 Extrapolation       0 28.893643 17.4558674
1030        BE6 0.97321091  307 Extrapolation       0 29.194807 17.4737119
1031        BE6 0.97416246  317 Extrapolation       0 29.458387 17.4850903
1032        BE6 0.97517018  328 Extrapolation       0 29.737525 17.4931506
1033        BE6 0.97613860  339 Extrapolation       0 30.005776 17.4888541
1034        BE6 0.97706924  350 Extrapolation       0 30.263565 17.4982917
1035        BE6 0.97796359  361 Extrapolation       0 30.511299 17.4963956
1036        BE6 0.97882306  372 Extrapolation       0 30.749371 17.4921435
1037        BE6 0.97964900  383 Extrapolation       0 30.978158 17.4859371
1038        BE6 0.98044273  394 Extrapolation       0 31.198021 17.4781109
1039        BE6 0.98120551  405 Extrapolation       0 31.409310 17.4689818
1040        BE6 0.98193853  416 Extrapolation       0 31.612358 17.4588372
1041        BE7 0.28952439    1   Rarefaction       0  1.000012  0.8875846
1042        BE7 0.83973677   30   Rarefaction       0  9.448939  8.0815532
1043        BE7 0.90966916   60   Rarefaction       0 13.036943 10.8797323
1044        BE7 0.93536280   90   Rarefaction       0 15.324703 12.4815021
1045        BE7 0.94870255  120   Rarefaction       0 17.052653 13.6432180
1046        BE7 0.95704294  150   Rarefaction       0 18.462130 14.5885628
1047        BE7 0.96277406  180   Rarefaction       0 19.662845 15.4041740
1048        BE7 0.96693917  210   Rarefaction       0 20.716161 16.1298613
1049        BE7 0.97010412  240   Rarefaction       0 21.660100 16.7840846
1050        BE7 0.97261278  270   Rarefaction       0 22.519277 17.3746604
1051        BE7 0.97461947  299   Rarefaction       0 23.284602 17.8856567
1052        BE7 0.97639921  329   Rarefaction       0 24.019588 18.3412146
1053        BE7 0.97796738  359   Rarefaction       0 24.704430 18.5981285
1054        BE7 0.97938288  389   Rarefaction       0 25.344558 18.4878385
1055        BE7 0.98068457  419   Rarefaction       0 25.943951 18.2834541
1056        BE7 0.98189892  449   Rarefaction       0 26.505614 18.0066089
1057        BE7 0.98304485  479   Rarefaction       0 27.031879 17.6973827
1058        BE7 0.98413657  509   Rarefaction       0 27.524583 17.3734769
1059        BE7 0.98518519  539   Rarefaction       0 27.984049 17.0345349
1060        BE7 0.98521946  540      Observed       0 28.000000 17.0241931
1061        BE7 0.98525366  541 Extrapolation       0 28.014781 17.0127579
1062        BE7 0.98617975  569 Extrapolation       0 28.415036 16.6917297
1063        BE7 0.98704768  597 Extrapolation       0 28.790155 16.3735519
1064        BE7 0.98788919  626 Extrapolation       0 29.153854 16.0539640
1065        BE7 0.98864976  654 Extrapolation       0 29.482575 15.7583054
1066        BE7 0.98936257  682 Extrapolation       0 29.790651 15.4810661
1067        BE7 0.99005368  711 Extrapolation       0 30.089348 15.2046092
1068        BE7 0.99067832  739 Extrapolation       0 30.359318 14.9543230
1069        BE7 0.99126373  767 Extrapolation       0 30.612334 14.7232217
1070        BE7 0.99183133  796 Extrapolation       0 30.857647 14.4897477
1071        BE7 0.99234433  824 Extrapolation       0 31.079367 14.2713210
1072        BE7 0.99284172  853 Extrapolation       0 31.294337 14.0534038
1073        BE7 0.99329126  881 Extrapolation       0 31.488633 13.8515190
1074        BE7 0.99371258  909 Extrapolation       0 31.670726 13.6583371
1075        BE7 0.99412107  938 Extrapolation       0 31.847276 13.4676015
1076        BE7 0.99449028  966 Extrapolation       0 32.006846 13.2924826
1077        BE7 0.99483629  994 Extrapolation       0 32.156394 13.1261332
1078        BE7 0.99517178 1023 Extrapolation       0 32.301391 12.9628852
1079        BE7 0.99547500 1051 Extrapolation       0 32.432442 12.8137525
1080        BE7 0.99576898 1080 Extrapolation       0 32.559503 12.6677843
1081        BE8 0.13857829    1   Rarefaction       0  1.000001  0.7973880
1082        BE8 0.60221071   13   Rarefaction       0  7.833930  6.3502875
1083        BE8 0.73498327   25   Rarefaction       0 11.798526 10.0845038
1084        BE8 0.81267269   37   Rarefaction       0 14.514180 12.6568109
1085        BE8 0.86197643   49   Rarefaction       0 16.470223 14.5065150
1086        BE8 0.89495371   61   Rarefaction       0 17.932719 15.8597980
1087        BE8 0.91789047   73   Rarefaction       0 19.059252 16.8591289
1088        BE8 0.93433021   85   Rarefaction       0 19.948933 17.6078906
1089        BE8 0.94640008   97   Rarefaction       0 20.667020 18.1823719
1090        BE8 0.95544358  109   Rarefaction       0 21.257979 18.6332350
1091        BE8 0.96234670  121   Rarefaction       0 21.752903 18.9908802
1092        BE8 0.96771483  133   Rarefaction       0 22.173932 19.2720169
1093        BE8 0.97197212  145   Rarefaction       0 22.537003 19.4754854
1094        BE8 0.97541998  157   Rarefaction       0 22.853691 19.5940188
1095        BE8 0.97827310  169   Rarefaction       0 23.132453 19.6680629
1096        BE8 0.98068353  181   Rarefaction       0 23.379539 19.7036511
1097        BE8 0.98275793  193   Rarefaction       0 23.599635 19.7441644
1098        BE8 0.98457089  205   Rarefaction       0 23.796339 19.7041855
1099        BE8 0.98630137  218   Rarefaction       0 23.982210 19.6276483
1100        BE8 0.98642590  219      Observed       0 24.000000 19.6263661
1101        BE8 0.98654930  220 Extrapolation       0 24.013574 19.6209963
1102        BE8 0.98783487  231 Extrapolation       0 24.154987 19.5459812
1103        BE8 0.98899757  242 Extrapolation       0 24.282883 19.4620908
1104        BE8 0.99013960  254 Extrapolation       0 24.408507 19.3664594
1105        BE8 0.99108202  265 Extrapolation       0 24.512173 19.2784512
1106        BE8 0.99200769  277 Extrapolation       0 24.613997 19.1855740
1107        BE8 0.99277157  288 Extrapolation       0 24.698023 19.1041947
1108        BE8 0.99352187  300 Extrapolation       0 24.780556 19.0205614
1109        BE8 0.99414102  311 Extrapolation       0 24.848663 18.9490077
1110        BE8 0.99474918  323 Extrapolation       0 24.915560 18.8767033
1111        BE8 0.99525103  334 Extrapolation       0 24.970764 18.8157479
1112        BE8 0.99574397  346 Extrapolation       0 25.024987 18.7550481
1113        BE8 0.99615074  357 Extrapolation       0 25.069732 18.7041764
1114        BE8 0.99655029  369 Extrapolation       0 25.113682 18.6535212
1115        BE8 0.99688000  380 Extrapolation       0 25.149951 18.6112286
1116        BE8 0.99720385  392 Extrapolation       0 25.185574 18.5692683
1117        BE8 0.99747110  403 Extrapolation       0 25.214971 18.5343397
1118        BE8 0.99773359  415 Extrapolation       0 25.243846 18.4997731
1119        BE8 0.99795021  426 Extrapolation       0 25.267673 18.4710606
1120        BE8 0.99816297  438 Extrapolation       0 25.291078 18.4426946
1121        BE9 0.06994467    1   Rarefaction       0  1.000000  0.9252717
1122        BE9 0.61280390   18   Rarefaction       0 11.347823 10.0133367
1123        BE9 0.77559174   35   Rarefaction       0 16.420867 14.5657978
1124        BE9 0.84858099   52   Rarefaction       0 19.580956 17.2656215
1125        BE9 0.88763739   69   Rarefaction       0 21.812286 19.0682354
1126        BE9 0.91132824   86   Rarefaction       0 23.518079 20.3530273
1127        BE9 0.92712485  103   Rarefaction       0 24.890987 21.2855430
1128        BE9 0.93838890  120   Rarefaction       0 26.034800 21.9699863
1129        BE9 0.94677883  137   Rarefaction       0 27.011773 22.4814308
1130        BE9 0.95352031  155   Rarefaction       0 27.909686 22.8794233
1131        BE9 0.95842169  172   Rarefaction       0 28.658911 23.1343744
1132        BE9 0.96225640  189   Rarefaction       0 29.333756 23.2715086
1133        BE9 0.96527460  206   Rarefaction       0 29.950244 23.2207613
1134        BE9 0.96766469  223   Rarefaction       0 30.520681 23.0809615
1135        BE9 0.96957087  240   Rarefaction       0 31.054533 22.8932775
1136        BE9 0.97110286  257   Rarefaction       0 31.559108 22.7531291
1137        BE9 0.97234201  274   Rarefaction       0 32.040079 22.6835034
1138        BE9 0.97334585  291   Rarefaction       0 32.501934 22.6915704
1139        BE9 0.97419355  309   Rarefaction       0 32.970210 22.7743566
1140        BE9 0.97423524  310      Observed       0 33.000000 22.7848979
1141        BE9 0.97427686  311 Extrapolation       0 33.025765 22.7922717
1142        BE9 0.97493376  327 Extrapolation       0 33.432386 22.8961451
1143        BE9 0.97557389  343 Extrapolation       0 33.828623 22.9929653
1144        BE9 0.97619766  359 Extrapolation       0 34.214741 23.0841948
1145        BE9 0.97684298  376 Extrapolation       0 34.614193 23.1764846
1146        BE9 0.97743435  392 Extrapolation       0 34.980249 23.2580297
1147        BE9 0.97801062  408 Extrapolation       0 35.336958 23.3419722
1148        BE9 0.97857217  424 Extrapolation       0 35.684557 23.4223764
1149        BE9 0.97915311  441 Extrapolation       0 36.044160 23.5080817
1150        BE9 0.97968548  457 Extrapolation       0 36.373700 23.5910164
1151        BE9 0.98020426  473 Extrapolation       0 36.694823 23.6788178
1152        BE9 0.98070979  489 Extrapolation       0 37.007746 23.7734102
1153        BE9 0.98123278  506 Extrapolation       0 37.331476 23.8794453
1154        BE9 0.98171204  522 Extrapolation       0 37.628140 23.9740853
1155        BE9 0.98217907  538 Extrapolation       0 37.917229 24.0664021
1156        BE9 0.98263416  554 Extrapolation       0 38.198935 24.1575900
1157        BE9 0.98310498  571 Extrapolation       0 38.490369 24.2546820
1158        BE9 0.98353643  587 Extrapolation       0 38.757439 24.3474698
1159        BE9 0.98395687  603 Extrapolation       0 39.017688 24.4419109
1160        BE9 0.98439182  620 Extrapolation       0 39.286925 24.5422635
        qD.UCL
1     1.114067
2     6.111991
3     8.489257
4    10.010710
5    11.255091
6    12.261409
7    13.063061
8    13.812384
9    14.434888
10   15.076708
11   15.736395
12   16.341850
13   16.981219
14   17.578572
15   18.204202
16   18.818869
17   19.377158
18   19.957640
19   20.510288
20   20.558336
21   20.597173
22   21.060573
23   21.523107
24   21.945535
25   22.292722
26   22.670132
27   23.024076
28   23.355112
29   23.663725
30   23.949921
31   24.197799
32   24.447212
33   24.679441
34   24.895497
35   25.096374
36   25.283027
37   25.456376
38   25.617301
39   25.766580
40   25.904855
41    1.104233
42   13.338078
43   18.775548
44   22.265920
45   24.595452
46   26.352547
47   27.815075
48   28.996596
49   30.083570
50   31.033067
51   31.943412
52   33.223551
53   34.631481
54   36.079911
55   37.332606
56   38.409646
57   39.373833
58   40.181895
59   40.920385
60   40.960902
61   40.991633
62   41.652419
63   42.290565
64   42.905499
65   43.495184
66   44.072295
67   44.601459
68   45.129226
69   45.641312
70   46.137851
71   46.640532
72   47.105860
73   47.556318
74   47.992444
75   48.414585
76   48.841312
77   49.235859
78   49.617417
79   49.986307
80   50.358759
81    1.138180
82    8.665435
83   12.519262
84   14.798127
85   16.586277
86   17.812688
87   18.827465
88   19.530649
89   20.119192
90   20.565786
91   21.015387
92   21.503853
93   22.338251
94   23.133158
95   23.919208
96   24.553410
97   25.156909
98   25.652688
99   26.153465
100  26.194066
101  26.233226
102  26.602324
103  26.955652
104  27.260061
105  27.521421
106  27.745073
107  27.936960
108  28.101500
109  28.242497
110  28.363259
111  28.466644
112  28.555125
113  28.630831
114  28.695590
115  28.750974
116  28.798333
117  28.838825
118  28.873441
119  28.903031
120  28.928322
121   1.022678
122  14.050074
123  20.614787
124  25.084396
125  28.268257
126  30.904476
127  33.314798
128  35.359329
129  37.345689
130  39.116722
131  40.814288
132  42.546563
133  44.135376
134  45.753244
135  47.218353
136  48.622246
137  50.032525
138  51.325232
139  52.646955
140  52.729023
141  52.800707
142  53.952566
143  55.064474
144  56.198626
145  57.229161
146  58.277893
147  59.227581
148  60.188387
149  61.058338
150  61.940142
151  62.736164
152  63.540655
153  64.264891
154  64.995056
155  65.651061
156  66.311033
157  66.902847
158  67.497505
159  68.030220
160  68.565039
161   1.075108
162  14.625055
163  22.081959
164  27.145762
165  30.851941
166  34.032835
167  36.705368
168  38.908811
169  40.968995
170  42.827273
171  44.448597
172  46.048429
173  47.618398
174  49.275876
175  51.123129
176  53.068821
177  54.930694
178  56.863374
179  58.736203
180  58.853471
181  58.946961
182  60.596469
183  62.266811
184  63.856906
185  65.287949
186  66.718538
187  68.066671
188  69.269122
189  70.482356
190  71.642825
191  72.694738
192  73.755957
193  74.768456
194  75.684103
195  76.606264
196  77.484654
197  78.277790
198  79.075756
199  79.834608
200  80.556149
201   1.024986
202   9.085891
203  15.675398
204  20.202484
205  24.322726
206  27.735808
207  30.335039
208  32.881381
209  34.877662
210  36.888321
211  38.710000
212  40.227960
213  42.065475
214  45.526574
215  49.727815
216  53.672190
217  56.848771
218  60.080319
219  62.974599
220  63.310209
221  63.617198
222  66.005777
223  68.280396
224  70.448052
225  72.512342
226  74.714652
227  76.569014
228  78.329688
229  80.000120
230  81.583896
231  83.267110
232  84.679856
233  86.016537
234  87.284528
235  88.486244
236  89.762946
237  90.834415
238  91.849394
239  92.810774
240  93.831689
241   1.089666
242  10.912351
243  15.241485
244  17.955395
245  19.804823
246  21.219731
247  22.260892
248  23.108992
249  23.819417
250  24.456928
251  24.986237
252  25.487542
253  26.065977
254  26.682931
255  27.377444
256  28.006730
257  28.618573
258  29.175624
259  29.711842
260  29.743449
261  29.771119
262  30.236448
263  30.662737
264  31.051400
265  31.422689
266  31.741071
267  32.030121
268  32.292121
269  32.541812
270  32.755272
271  32.948590
272  33.123745
273  33.290476
274  33.432828
275  33.561443
276  33.677617
277  33.788049
278  33.882237
279  33.967265
280  34.048050
281   1.046786
282  10.395894
283  16.315216
284  19.921022
285  22.779720
286  24.793805
287  26.551405
288  27.864990
289  29.044424
290  29.935428
291  30.733866
292  31.328302
293  31.847370
294  32.230304
295  32.658946
296  33.433859
297  34.459502
298  35.345667
299  36.186995
300  36.250798
301  36.309190
302  36.747510
303  37.018787
304  37.166015
305  37.245696
306  37.288758
307  37.312013
308  37.324568
309  37.331344
310  37.335001
311  37.336974
312  37.338039
313  37.338613
314  37.338923
315  37.339090
316  37.339180
317  37.339229
318  37.339255
319  37.339270
320  37.339277
321   1.076656
322  13.931367
323  20.831184
324  26.026385
325  29.933367
326  33.379909
327  36.241387
328  38.914854
329  41.204536
330  43.390096
331  45.313933
332  47.152646
333  49.244931
334  51.502492
335  53.867466
336  56.019191
337  58.087633
338  59.881337
339  61.565421
340  61.684056
341  61.762620
342  63.233898
343  64.647543
344  66.096726
345  67.472819
346  68.908353
347  70.257348
348  71.587001
349  72.963362
350  74.246117
351  75.569585
352  76.800243
353  78.066449
354  79.240879
355  80.387067
356  81.562774
357  82.650345
358  83.764342
359  84.793539
360  85.846517
361   1.097351
362  13.373801
363  19.845173
364  24.331378
365  27.658806
366  30.215725
367  32.228790
368  33.844699
369  35.166340
370  36.267742
371  37.199980
372  37.997297
373  38.702505
374  39.691277
375  40.972183
376  42.251315
377  43.384507
378  44.309316
379  45.045507
380  45.086570
381  45.115903
382  45.660275
383  46.171400
384  46.649433
385  47.095663
386  47.511676
387  47.899054
388  48.259401
389  48.594330
390  48.905420
391  49.209604
392  49.476399
393  49.723822
394  49.953202
395  50.165794
396  50.362776
397  50.545256
398  50.714269
399  50.870963
400  51.023411
401   1.049346
402  14.189505
403  19.032929
404  21.956277
405  24.107444
406  25.822131
407  27.249510
408  28.481603
409  29.589645
410  30.629354
411  31.618342
412  32.543711
413  33.411268
414  34.263682
415  35.218787
416  36.299168
417  37.392189
418  38.503514
419  39.634538
420  39.693445
421  39.741286
422  40.773553
423  41.731952
424  42.685459
425  43.565610
426  44.342351
427  45.090034
428  45.773791
429  46.396584
430  46.962556
431  47.454815
432  47.922156
433  48.344871
434  48.726844
435  49.071752
436  49.370137
437  49.652171
438  49.906534
439  50.135721
440  50.342279
441   1.169812
442   6.682732
443   9.609891
444  11.933625
445  13.917519
446  15.755484
447  17.920927
448  21.713305
449  26.054550
450  29.716224
451  32.754225
452  35.253908
453  37.532201
454  39.193291
455  40.554681
456  41.682114
457  42.619044
458  43.403396
459  44.119440
460  44.220822
461  44.291974
462  44.825516
463  45.428419
464  46.022682
465  46.608209
466  47.113277
467  47.682015
468  48.241428
469  48.790962
470  49.329133
471  49.783528
472  50.288888
473  50.806324
474  51.316447
475  51.819298
476  52.253354
477  52.742662
478  53.224777
479  53.699733
480  54.167542
481   1.068390
482  14.466416
483  20.997317
484  25.042048
485  27.772644
486  29.957821
487  31.684739
488  33.023254
489  34.190540
490  35.180966
491  36.009021
492  36.783603
493  37.474756
494  38.181769
495  38.872623
496  39.512288
497  40.051726
498  40.605850
499  41.108279
500  41.139573
501  41.159914
502  41.589527
503  42.037704
504  42.456225
505  42.887488
506  43.307871
507  43.696489
508  44.094279
509  44.479934
510  44.834614
511  45.195180
512  45.524996
513  45.857941
514  46.176829
515  46.469791
516  46.767616
517  47.054795
518  47.317945
519  47.584995
520  47.842088
521   1.095697
522   9.044592
523  13.232472
524  15.948198
525  17.884537
526  19.254412
527  20.431518
528  21.373718
529  22.143606
530  22.790281
531  23.311628
532  23.841939
533  24.665107
534  25.788640
535  26.812419
536  27.802096
537  28.633710
538  29.310111
539  29.834195
540  29.872025
541  29.905792
542  30.308405
543  30.686704
544  31.041416
545  31.373583
546  31.684274
547  31.974691
548  32.268532
549  32.521895
550  32.759109
551  32.981122
552  33.188839
553  33.383127
554  33.579403
555  33.748305
556  33.906158
557  34.053766
558  34.191575
559  34.320398
560  34.450424
561   1.112502
562   8.421268
563  11.915625
564  14.276095
565  16.073039
566  17.635494
567  18.834429
568  19.867755
569  20.785643
570  21.709940
571  22.646244
572  24.220063
573  25.661490
574  26.892900
575  27.959575
576  28.737839
577  29.333026
578  29.761440
579  30.046865
580  30.095517
581  30.130493
582  30.508081
583  30.909177
584  31.266092
585  31.643848
586  32.009639
587  32.334564
588  32.677811
589  33.009565
590  33.303166
591  33.613704
592  33.889358
593  34.180474
594  34.461807
595  34.711299
596  34.974513
597  35.228548
598  35.453455
599  35.690086
600  35.916985
601   1.128485
602   8.374282
603  11.824215
604  14.121983
605  15.795096
606  17.158515
607  18.185705
608  19.024862
609  19.716557
610  20.320728
611  20.795235
612  21.201457
613  21.580807
614  22.021380
615  22.515948
616  23.046510
617  23.562454
618  24.036160
619  24.481746
620  24.508991
621  24.531436
622  24.876695
623  25.181349
624  25.464085
625  25.695430
626  25.896593
627  26.080760
628  26.229804
629  26.358399
630  26.475637
631  26.570216
632  26.656311
633  26.725680
634  26.785325
635  26.839546
636  26.883182
637  26.920666
638  26.954713
639  26.982094
640  27.006954
641   1.115892
642   9.867950
643  14.414060
644  17.607145
645  20.051562
646  22.016635
647  23.645994
648  25.029368
649  26.229624
650  27.294531
651  28.262786
652  29.166620
653  30.026135
654  30.841252
655  31.617622
656  32.395504
657  33.257542
658  34.269810
659  35.516552
660  35.613595
661  35.707146
662  36.818994
663  37.886200
664  38.968663
665  39.894154
666  40.815291
667  41.592580
668  42.303363
669  43.004776
670  43.588783
671  44.162833
672  44.641801
673  45.110908
674  45.501014
675  45.854770
676  46.200407
677  46.488028
678  46.768888
679  47.002494
680  47.230518
681   1.131899
682   9.493124
683  13.741748
684  16.650737
685  18.809344
686  20.481368
687  21.824141
688  22.877780
689  23.835762
690  24.669294
691  25.408710
692  26.076374
693  26.689793
694  27.232097
695  27.792530
696  28.408646
697  29.098837
698  29.909885
699  30.756074
700  30.815943
701  30.866089
702  31.651101
703  32.387922
704  33.061761
705  33.687825
706  34.263366
707  34.790015
708  35.269891
709  35.705472
710  36.098408
711  36.453639
712  36.775299
713  37.066278
714  37.329299
715  37.566903
716  37.781440
717  37.975072
718  38.149776
719  38.307360
720  38.449467
721   1.078035
722  12.271991
723  18.108635
724  22.239000
725  25.483686
726  28.321391
727  30.611765
728  32.627735
729  34.438793
730  36.186500
731  37.711801
732  39.140368
733  40.493602
734  41.796782
735  43.135081
736  44.352023
737  45.527521
738  46.635165
739  47.682122
740  47.778379
741  47.842878
742  48.754288
743  49.626009
744  50.530372
745  51.361808
746  52.174787
747  53.015846
748  53.785466
749  54.536223
750  55.313991
751  56.022362
752  56.755265
753  57.430230
754  58.074333
755  58.743592
756  59.353816
757  59.945087
758  60.552612
759  61.105251
760  61.673826
761   1.050002
762  10.976381
763  16.468372
764  20.007938
765  22.409887
766  24.397050
767  25.984461
768  27.298499
769  28.346676
770  29.327846
771  30.206371
772  30.987733
773  32.000936
774  33.331666
775  34.622453
776  35.768197
777  36.899950
778  37.912992
779  38.775504
780  38.843631
781  38.897770
782  39.642582
783  40.353989
784  41.028928
785  41.662298
786  42.269008
787  42.850585
788  43.407083
789  43.938926
790  44.447535
791  44.933623
792  45.397794
793  45.840717
794  46.263562
795  46.665626
796  47.049057
797  47.414148
798  47.761656
799  48.092328
800  48.406899
801   1.092820
802   9.476561
803  13.442345
804  16.103610
805  17.761161
806  18.967756
807  19.957738
808  20.691565
809  21.366184
810  21.929117
811  22.449876
812  22.992046
813  23.513450
814  24.042115
815  24.538955
816  25.009783
817  25.483900
818  25.896543
819  26.301186
820  26.331395
821  26.358925
822  26.668173
823  26.961918
824  27.216593
825  27.420372
826  27.610729
827  27.774437
828  27.915071
829  28.027085
830  28.131714
831  28.221305
832  28.297962
833  28.358825
834  28.415528
835  28.463973
836  28.505342
837  28.538139
838  28.568652
839  28.594690
840  28.616902
841   1.054045
842  14.200047
843  21.461825
844  26.195177
845  29.590219
846  32.310544
847  34.330701
848  35.996040
849  37.405614
850  38.694935
851  39.765173
852  40.742900
853  41.682959
854  42.686037
855  43.917139
856  45.177208
857  46.431823
858  47.600293
859  48.721264
860  48.801624
861  48.864839
862  49.787363
863  50.667527
864  51.548051
865  52.326572
866  53.101581
867  53.781758
868  54.416647
869  55.035693
870  55.577110
871  56.118084
872  56.592444
873  57.065187
874  57.478882
875  57.865595
876  58.250062
877  58.585793
878  58.919202
879  59.210048
880  59.498625
881   1.115972
882   9.357029
883  13.415263
884  16.247874
885  18.428014
886  20.526380
887  22.506647
888  24.270414
889  26.029951
890  27.659889
891  29.120450
892  30.821052
893  32.564891
894  34.174695
895  35.937465
896  37.773308
897  39.478336
898  41.273919
899  42.997618
900  43.135934
901  43.250314
902  44.715036
903  46.244391
904  47.722208
905  49.149939
906  50.525737
907  51.850475
908  53.129182
909  54.362930
910  55.553761
911  56.702749
912  57.810781
913  58.878921
914  59.909560
915  60.904618
916  61.865491
917  62.793280
918  63.688411
919  64.551707
920  65.384171
921   1.037160
922  14.690351
923  20.489621
924  23.800156
925  26.065360
926  27.849720
927  29.459116
928  31.262846
929  33.185515
930  34.797907
931  36.175024
932  37.395681
933  38.458001
934  39.354305
935  40.110027
936  40.758157
937  41.315596
938  41.793316
939  42.185978
940  42.214039
941  42.230111
942  42.572255
943  42.925190
944  43.271156
945  43.610137
946  43.927166
947  44.252389
948  44.570454
949  44.881196
950  45.184304
951  45.465954
952  45.752311
953  46.032851
954  46.308323
955  46.578783
956  46.832329
957  47.093167
958  47.349174
959  47.600412
960  47.846948
961   1.163633
962   6.532921
963   9.325346
964  11.405723
965  12.982804
966  14.205890
967  15.179789
968  15.978618
969  16.660738
970  17.283723
971  17.956838
972  18.822777
973  19.669926
974  20.405565
975  21.031506
976  21.589043
977  22.091680
978  22.559067
979  22.979818
980  23.030242
981  23.069826
982  23.456239
983  23.820334
984  24.195639
985  24.514386
986  24.840246
987  25.112042
988  25.371554
989  25.639346
990  25.867457
991  26.102457
992  26.302419
993  26.508200
994  26.683099
995  26.847003
996  27.015101
997  27.157954
998  27.305443
999  27.431245
1000 27.560451
1001  1.184198
1002  8.602118
1003 12.602055
1004 15.792975
1005 18.132190
1006 20.255369
1007 21.905836
1008 23.449458
1009 24.682968
1010 25.888809
1011 26.912705
1012 27.904883
1013 29.023090
1014 30.050102
1015 31.128785
1016 32.103528
1017 33.118800
1018 33.990761
1019 34.862702
1020 34.932698
1021 35.000024
1022 35.680514
1023 36.409822
1024 37.116401
1025 37.799795
1026 38.463559
1027 39.106881
1028 39.729520
1029 40.331418
1030 40.915902
1031 41.431684
1032 41.981900
1033 42.522698
1034 43.028838
1035 43.526202
1036 44.006598
1037 44.470378
1038 44.917932
1039 45.349638
1040 45.765878
1041  1.112439
1042 10.816325
1043 15.194153
1044 18.167904
1045 20.462088
1046 22.335697
1047 23.921516
1048 25.302461
1049 26.536116
1050 27.663893
1051 28.683547
1052 29.697961
1053 30.810731
1054 32.201277
1055 33.604447
1056 35.004619
1057 36.366375
1058 37.675690
1059 38.933563
1060 38.975807
1061 39.016803
1062 40.138342
1063 41.206757
1064 42.253745
1065 43.206844
1066 44.100235
1067 44.974088
1068 45.764314
1069 46.501446
1070 47.225547
1071 47.887413
1072 48.535271
1073 49.125746
1074 49.683114
1075 50.226950
1076 50.721209
1077 51.186656
1078 51.639896
1079 52.051131
1080 52.451222
1081  1.202613
1082  9.317573
1083 13.512547
1084 16.371548
1085 18.433931
1086 20.005640
1087 21.259375
1088 22.289976
1089 23.151668
1090 23.882723
1091 24.514926
1092 25.075846
1093 25.598521
1094 26.113363
1095 26.596844
1096 27.055427
1097 27.455106
1098 27.888493
1099 28.336771
1100 28.373634
1101 28.406152
1102 28.763992
1103 29.103676
1104 29.450555
1105 29.745895
1106 30.042420
1107 30.291852
1108 30.540551
1109 30.748319
1110 30.954417
1111 31.125780
1112 31.294926
1113 31.435288
1114 31.573843
1115 31.688672
1116 31.801880
1117 31.895603
1118 31.987918
1119 32.064286
1120 32.139460
1121  1.074728
1122 12.682310
1123 18.275936
1124 21.896291
1125 24.556336
1126 26.683130
1127 28.496432
1128 30.099613
1129 31.542115
1130 32.939950
1131 34.183448
1132 35.396003
1133 36.679726
1134 37.960400
1135 39.215788
1136 40.365086
1137 41.396655
1138 42.312297
1139 43.166064
1140 43.215102
1141 43.259258
1142 43.968626
1143 44.664280
1144 45.345286
1145 46.051901
1146 46.702469
1147 47.331944
1148 47.946738
1149 48.580239
1150 49.156383
1151 49.710829
1152 50.242082
1153 50.783506
1154 51.282195
1155 51.768056
1156 52.240280
1157 52.726057
1158 53.167408
1159 53.593466
1160 54.031587
# show asymptotic estimates
birds_inext$AsyEst
   Assemblage         Diversity  Observed Estimator       s.e.       LCL
1        BE10  Species richness 15.000000 17.656604  4.9000060 15.000000
2        BE10 Shannon diversity  4.477834  4.637426  0.4355452  3.783773
3        BE10 Simpson diversity  2.522903  2.537541  0.2397298  2.067679
4        BE11  Species richness 32.000000 40.978723  9.1863880 32.000000
5        BE11 Shannon diversity 15.106089 15.873309  0.9174888 14.075064
6        BE11 Simpson diversity  8.586257  8.743437  0.7604784  7.252926
7        BE12  Species richness 21.000000 21.663477  3.1239160 21.000000
8        BE12 Shannon diversity 12.056420 12.708104  0.8858413 10.971887
9        BE12 Simpson diversity  8.084583  8.369657  0.8690891  6.666274
10       BE13  Species richness 42.000000 54.035178 10.5602784 42.000000
11       BE13 Shannon diversity 23.597320 25.773235  1.5850903 22.666515
12       BE13 Simpson diversity 17.905539 18.866212  1.2951407 16.327782
13       BE14  Species richness 46.000000 59.960674 21.3775341 46.000000
14       BE14 Shannon diversity 24.539775 26.883599  1.5117280 23.920666
15       BE14 Simpson diversity 16.693361 17.465451  1.2862756 14.944397
16       BE15  Species richness 41.000000 52.994540  9.9847964 41.000000
17       BE15 Shannon diversity 29.495851 35.477035  2.6386276 30.305420
18       BE15 Simpson diversity 23.275732 27.152993  2.4553464 22.340603
19       BE16  Species richness 25.000000 26.495690  3.9839711 25.000000
20       BE16 Shannon diversity 12.284503 12.775183  0.7454349 11.314158
21       BE16 Simpson diversity  7.426959  7.567114  0.6605059  6.272546
22       BE17  Species richness 31.000000 31.082935  3.6457379 31.000000
23       BE17 Shannon diversity 22.478066 24.240311  1.3646669 21.565613
24       BE17 Simpson diversity 17.691778 19.235398  1.5257720 16.244940
25       BE18  Species richness 47.000000 72.530811 22.2101672 47.000000
26       BE18 Shannon diversity 19.613692 21.717714  1.5446680 18.690220
27       BE18 Simpson diversity 10.576329 10.858120  1.0312699  8.836868
28       BE19  Species richness 37.000000 39.658937  5.0897625 37.000000
29       BE19 Shannon diversity 18.348002 19.482358  1.3235728 16.888203
30       BE19 Simpson diversity  9.926195 10.190623  1.0876967  8.058777
31        BE2  Species richness 32.000000 34.993088  7.1573929 32.000000
32        BE2 Shannon diversity 17.622988 18.391735  0.7535387 16.914826
33        BE2 Simpson diversity 13.375657 13.769197  0.8289231 12.144538
34       BE20  Species richness 20.000000 44.335570 15.2561893 20.000000
35       BE20 Shannon diversity  7.779758  8.839153  1.0356538  6.809309
36       BE20 Simpson diversity  3.955282  4.035871  0.5298062  2.997470
37       BE21  Species richness 35.000000 41.233289  6.1519383 35.000000
38       BE21 Shannon diversity 21.832030 23.108387  1.3226463 20.516048
39       BE21 Simpson diversity 15.823077 16.477912  1.3545126 13.823116
40       BE22  Species richness 23.000000 25.240302  6.3116897 23.000000
41       BE22 Shannon diversity 12.812872 13.553146  0.9511603 11.688906
42       BE22 Simpson diversity  8.494949  8.779817  0.8185272  7.175533
43       BE23  Species richness 21.000000 26.972973  7.1269761 21.000000
44       BE23 Shannon diversity 10.713187 11.393252  0.8698337  9.688409
45       BE23 Simpson diversity  6.764205  6.945357  0.7967920  5.383673
46       BE24  Species richness 20.000000 20.664530  4.0376628 20.000000
47       BE24 Shannon diversity  6.195198  6.407189  0.5189026  5.390159
48       BE24 Simpson diversity  3.026866  3.046722  0.2633270  2.530610
49       BE25  Species richness 29.000000 32.485232  8.0470310 29.000000
50       BE25 Shannon diversity 14.251109 15.343542  1.0475099 13.290461
51       BE25 Simpson diversity  8.672070  8.963462  0.9365104  7.127935
52       BE26  Species richness 26.000000 28.491803  6.4713889 26.000000
53       BE26 Shannon diversity 10.380759 10.906455  0.8622563  9.216463
54       BE26 Simpson diversity  5.580719  5.666096  0.5847107  4.520084
55       BE27  Species richness 39.000000 55.845833 24.6185532 39.000000
56       BE27 Shannon diversity 18.343938 20.174817  1.3687893 17.492039
57       BE27 Simpson diversity 11.624552 12.035723  1.0338807 10.009354
58       BE28  Species richness 30.000000 35.977528  7.3284784 30.000000
59       BE28 Shannon diversity 17.374372 18.650980  1.3972587 15.912403
60       BE28 Simpson diversity 12.443533 13.002929  1.1416091 10.765417
61       BE29  Species richness 22.000000 22.663923  2.8386476 22.000000
62       BE29 Shannon diversity 13.352550 13.998786  0.8515824 12.329715
63       BE29 Simpson diversity  9.224965  9.549529  0.9398512  7.707455
64        BE3  Species richness 40.000000 44.883333  7.5437188 40.000000
65        BE3 Shannon diversity 27.001927 29.282369  1.4333733 26.473009
66        BE3 Simpson diversity 20.738004 22.235932  1.5099866 19.276413
67       BE30  Species richness 28.000000 43.068139 20.7733633 28.000000
68       BE30 Shannon diversity 11.649885 12.687302  1.0358395 10.657094
69       BE30 Simpson diversity  7.142742  7.312241  0.7517466  5.838844
70        BE4  Species richness 32.000000 44.469880 10.0527983 32.000000
71        BE4 Shannon diversity 20.152640 21.220586  1.1079980 19.048950
72        BE4 Simpson diversity 15.525557 16.090092  0.9628592 14.202922
73        BE5  Species richness 17.000000 19.238693  4.8744372 17.000000
74        BE5 Shannon diversity  5.737908  6.031244  0.5795581  4.895331
75        BE5 Simpson diversity  2.816772  2.842857  0.2739938  2.305839
76        BE6  Species richness 26.000000 36.615385 13.8282559 26.000000
77        BE6 Shannon diversity 11.169507 12.249531  1.2141852  9.869772
78        BE6 Simpson diversity  5.992244  6.140331  0.8416889  4.490651
79        BE7  Species richness 28.000000 34.388148  7.1136520 28.000000
80        BE7 Shannon diversity  7.029619  7.275117  0.5282739  6.239719
81        BE7 Simpson diversity  3.438355  3.453980  0.2572967  2.949688
82        BE8  Species richness 24.000000 25.493151  3.2190267 24.000000
83        BE8 Shannon diversity 12.662098 13.446817  0.9826075 11.520941
84        BE8 Simpson diversity  7.016971  7.216143  0.8498985  5.550372
85        BE9  Species richness 33.000000 48.948387 17.9781179 33.000000
86        BE9 Shannon diversity 19.238117 20.809633  1.2589350 18.342166
87        BE9 Simpson diversity 13.708987 14.297015  1.1700595 12.003740
          UCL
1   27.260439
2    5.491079
3    3.007403
4   58.983713
5   17.671554
6   10.233947
7   27.786240
8   14.444321
9   10.073041
10  74.732943
11  28.879955
12  21.404641
13 101.859871
14  29.846531
15  19.986504
16  72.564382
17  40.648650
18  31.965384
19  34.304130
20  14.236209
21   8.861681
22  38.228450
23  26.915009
24  22.225856
25 116.061939
26  24.745207
27  12.879372
28  49.634688
29  22.076513
30  12.322470
31  49.021320
32  19.868644
33  15.393856
34  74.237152
35  10.868997
36   5.074272
37  53.290866
38  25.700726
39  19.132708
40  37.610986
41  15.417386
42  10.384100
43  40.941590
44  13.098095
45   8.507040
46  28.578204
47   7.424220
48   3.562833
49  48.257123
50  17.396624
51  10.798988
52  41.175493
53  12.596446
54   6.812108
55 104.097311
56  22.857594
57  14.062092
58  50.341082
59  21.389557
60  15.240442
61  28.227570
62  15.667856
63  11.391604
64  59.668751
65  32.091730
66  25.195451
67  83.783183
68  14.717510
69   8.785637
70  64.173002
71  23.392223
72  17.977261
73  28.792415
74   7.167157
75   3.379875
76  63.718268
77  14.629290
78   7.790011
79  48.330650
80   8.310515
81   3.958272
82  31.802327
83  15.372692
84   8.881913
85  84.184851
86  23.277100
87  16.590289
# Species accumulation curves
ggiNEXT(birds_inext, type=1, facet.var="none") # not all plots sampled equally
Error in ggiNEXT.iNEXT(birds_inext, type = 1, facet.var = "none"): invalid facet variable
# get minimum number of individuals from data 
min_abund <- min(birds_inext$DataInfo$n)

# use 2x minimum number of individuals for rarefaction/extrapolation
birds_estINEXTsize <- estimateD(bird_data, datatype = "abundance", base = "size", level = (min_abund*2),
          conf = NULL)
Error in data.frame(..., check.names = FALSE): Argumente implizieren unterschiedliche Anzahl Zeilen: 3, 0
birds_estINEXTsize
Error in eval(expr, envir, enclos): Objekt 'birds_estINEXTsize' nicht gefunden
# extract species richness 
birds_est_sprich <- as.data.frame(cbind(site = colnames(bird_data),
                                        sp_rich = birds_estINEXTsize$`q = 0`))
Error in h(simpleError(msg, call)): Fehler bei der Auswertung des Argumentes 'x' bei der Methodenauswahl für Funktion 'as.data.frame': Objekt 'birds_estINEXTsize' nicht gefunden
birds_est_sprich
Error in eval(expr, envir, enclos): Objekt 'birds_est_sprich' nicht gefunden

Statistics!!

Question: Does urbanization have an effect on bird diversity?

We are going to run a model with the number of species as response and urbanization variables as explanatory variables.

Load environmental data

env_cov <- read.csv(here("data","data_berlin","animal_data",
                         "birds_transects_allenvir_100m.csv") )
head(env_cov)
  site                                 patch.lu   patch.area    pop_100m
1 BE10                      park and green area    4762.0000 240.2320426
2 BE11                      park and green area   22107.5781  41.9517209
3 BE12                      park and green area     623.8551  64.4663933
4 BE13                      park and green area  700876.6900   0.2617629
5 BE14 brownfield with meadow, shrubs and trees 1119275.5140   0.1640317
6 BE15                                 farmland  754802.5036   0.2794827
  distance_water impervious_surface    light    noise  open_green temp_cooldown
1      887.99534       85.708155200 254.0484 52.66811 0.003755813    -0.4034781
2      182.70408       48.086350720 253.5432 61.36624 0.147960262    -0.5058560
3      846.25954       56.269183550 253.5924 53.33908 0.116351677    -0.4798068
4       89.61534        0.003294742  97.9062 22.78204 0.062367094    -0.7988746
5      849.76658        7.314871159 248.0444 35.69318 0.517760575    -0.6104055
6     1114.94496        3.692755106 238.8065 62.04909 0.692938283    -0.8771918
  temp_day temp_night tree_cover
1 21.85441   13.61666   6.983366
2 21.74545   13.03693  22.487329
3 21.33945   12.66102  19.374208
4 28.82046   16.64645  70.116086
5 21.35707   10.84691  36.390875
6 30.88368   14.75161  19.789344
str(env_cov)
'data.frame':   29 obs. of  13 variables:
 $ site              : chr  "BE10" "BE11" "BE12" "BE13" ...
 $ patch.lu          : chr  "park and green area" "park and green area" "park and green area" "park and green area" ...
 $ patch.area        : num  4762 22108 624 700877 1119276 ...
 $ pop_100m          : num  240.232 41.952 64.466 0.262 0.164 ...
 $ distance_water    : num  888 182.7 846.3 89.6 849.8 ...
 $ impervious_surface: num  85.70816 48.08635 56.26918 0.00329 7.31487 ...
 $ light             : num  254 253.5 253.6 97.9 248 ...
 $ noise             : num  52.7 61.4 53.3 22.8 35.7 ...
 $ open_green        : num  0.00376 0.14796 0.11635 0.06237 0.51776 ...
 $ temp_cooldown     : num  -0.403 -0.506 -0.48 -0.799 -0.61 ...
 $ temp_day          : num  21.9 21.7 21.3 28.8 21.4 ...
 $ temp_night        : num  13.6 13 12.7 16.6 10.8 ...
 $ tree_cover        : num  6.98 22.49 19.37 70.12 36.39 ...
summary(env_cov)
     site             patch.lu           patch.area         pop_100m      
 Length:29          Length:29          Min.   :    624   Min.   :  0.000  
 Class :character   Class :character   1st Qu.:  22108   1st Qu.:  3.397  
 Mode  :character   Mode  :character   Median : 332616   Median : 41.952  
                                       Mean   :1101702   Mean   : 69.344  
                                       3rd Qu.: 700877   3rd Qu.:118.731  
                                       Max.   :6995421   Max.   :289.615  
 distance_water    impervious_surface     light            noise      
 Min.   :  89.62   Min.   : 0.000     Min.   : 97.91   Min.   :22.78  
 1st Qu.: 308.95   1st Qu.: 7.315     1st Qu.:238.81   1st Qu.:50.24  
 Median : 581.60   Median :48.086     Median :253.54   Median :55.76  
 Mean   : 676.67   Mean   :45.063     Mean   :234.06   Mean   :52.80  
 3rd Qu.: 894.21   3rd Qu.:69.303     3rd Qu.:254.46   3rd Qu.:60.28  
 Max.   :1616.58   Max.   :89.406     Max.   :255.00   Max.   :65.45  
   open_green       temp_cooldown        temp_day       temp_night   
 Min.   :0.000000   Min.   :-0.9972   Min.   :19.27   Min.   :10.85  
 1st Qu.:0.004748   1st Qu.:-0.7463   1st Qu.:21.75   1st Qu.:12.71  
 Median :0.062367   Median :-0.5619   Median :24.36   Median :13.72  
 Mean   :0.153202   Mean   :-0.6014   Mean   :24.53   Mean   :14.08  
 3rd Qu.:0.147960   3rd Qu.:-0.4798   3rd Qu.:27.12   3rd Qu.:14.75  
 Max.   :0.998552   Max.   :-0.3755   Max.   :30.94   Max.   :17.48  
   tree_cover     
 Min.   : 0.1246  
 1st Qu.:14.9442  
 Median :24.7570  
 Mean   :30.7382  
 3rd Qu.:37.6015  
 Max.   :79.3415  

We are going to use three variables to define the ubanization gradient: tree cover, imperviousness and noise.

Prepare the data for the model

colnames(env_cov)
 [1] "site"               "patch.lu"           "patch.area"        
 [4] "pop_100m"           "distance_water"     "impervious_surface"
 [7] "light"              "noise"              "open_green"        
[10] "temp_cooldown"      "temp_day"           "temp_night"        
[13] "tree_cover"        
# Put all data together: add environmental variables to birds data
#my_model_data <- left_join(birds_est_sprich, env_cov, by = "site")
my_model_data <- merge(birds_est_sprich,env_cov,by = "site")
Error in h(simpleError(msg, call)): Fehler bei der Auswertung des Argumentes 'x' bei der Methodenauswahl für Funktion 'merge': Objekt 'birds_est_sprich' nicht gefunden
#select response and explanatory variables
#my_model_data <- dplyr::select(my_model_data, 
#                               c(site, sp_rich, tree_cover, impervious_surface, noise))

my_model_data <- my_model_data[, c('site', 'sp_rich', 'tree_cover', 
                                   'impervious_surface', 'noise')]
Error in eval(expr, envir, enclos): Objekt 'my_model_data' nicht gefunden
str(my_model_data) # do you also have a chr for sp_rich?
Error in str(my_model_data): Objekt 'my_model_data' nicht gefunden
my_model_data$sp_rich <- as.numeric(my_model_data$sp_rich)
Error in eval(expr, envir, enclos): Objekt 'my_model_data' nicht gefunden
str(my_model_data)
Error in str(my_model_data): Objekt 'my_model_data' nicht gefunden

Define the model

# explore relationships between variables
ggplot(my_model_data, aes(y = sp_rich, x = tree_cover)) +
  geom_point() +
  geom_smooth()
Error in ggplot(my_model_data, aes(y = sp_rich, x = tree_cover)): Objekt 'my_model_data' nicht gefunden
ggplot(my_model_data, aes(y = sp_rich, x = impervious_surface)) +
  geom_point() +
  geom_smooth()
Error in ggplot(my_model_data, aes(y = sp_rich, x = impervious_surface)): Objekt 'my_model_data' nicht gefunden
ggplot(my_model_data, aes(y = sp_rich, x = noise)) +
  geom_point() +
  geom_smooth()
Error in ggplot(my_model_data, aes(y = sp_rich, x = noise)): Objekt 'my_model_data' nicht gefunden
# build linear regression model
birds_model <- glm(sp_rich ~ tree_cover + impervious_surface + noise,
                    family = "gaussian", 
                    data = my_model_data)
Error in is.data.frame(data): Objekt 'my_model_data' nicht gefunden
# View results of the model
summary(birds_model)
Error in h(simpleError(msg, call)): Fehler bei der Auswertung des Argumentes 'object' bei der Methodenauswahl für Funktion 'summary': Objekt 'birds_model' nicht gefunden
# bird diversity decreases with increasing urbanisation


# view the regression line through impervious surface only:
ggplot(my_model_data, aes(y = sp_rich, x = impervious_surface)) +
  geom_point(size=7,alpha=0.5) +
  geom_smooth(method = "lm", se = TRUE, col='red') +
  xlab('impervious surface')
Error in ggplot(my_model_data, aes(y = sp_rich, x = impervious_surface)): Objekt 'my_model_data' nicht gefunden

PREDICT the model in Berlin

Load environmental rasters

##
## set working directory for maps, e.g. here geoTiffs ##
tree_raster   <- rast(here::here("data","data_berlin","geo_raster_current_gtif","tree_cover_density_2012_100m_3035.tif"))
imperv_raster <- rast(here::here("data","data_berlin","geo_raster_current_gtif","imperviousness_2012_100m_3035.tif"))
noise_raster  <- rast(here::here("data","data_berlin","geo_raster_current_gtif","noise_daynight_2017_100m_3035.tif"))
water_raster  <- rast(here::here("data","data_berlin","geo_raster_current_gtif","water_bodies_2010_100m_3035.tif"))

#put all environmental rasters together for the prediction
many_rasters <- list(x,x)
Error in eval(expr, envir, enclos): Objekt 'x' nicht gefunden
## this works
my_env_stack<- rast(list(tree_raster, imperv_raster, noise_raster))

# the raster the same name as the variables in the model
names(my_env_stack) <- c("tree_cover", "impervious_surface", "noise")


# the model is fitted with environmental predictor values between 0 and 100
# e.g. tree cover = 88.5 % in a 100*100 m cell
# check: my_model_data
# However, our rasters do not contain decimals (for PC storage and memory reasons)
# so we need to transform them to decimals before we predict our model
# to the whole of Berlin:

my_env_stack_2 <- my_env_stack/100 # correct values of the rasters

Predict the model

sp_rich_pred <- terra::predict(object = my_env_stack_2, 
                                model = birds_model)
Error in h(simpleError(msg, call)): Fehler bei der Auswertung des Argumentes 'object' bei der Methodenauswahl für Funktion 'predict': Objekt 'birds_model' nicht gefunden
sp_rich_pred
Error in eval(expr, envir, enclos): Objekt 'sp_rich_pred' nicht gefunden
sp_rich_pred[sp_rich_pred < 0] <- 0 # Abundance cannot be < 0
Error in sp_rich_pred[sp_rich_pred < 0] <- 0: Objekt 'sp_rich_pred' nicht gefunden
# define colors
my_palette <- c("#440154FF", "#2D708EFF", "#56C667FF", "#DCE318FF", "#FDE725FF")

# plot map
plot(sp_rich_pred, col = my_palette, breaks = c(seq(5, 55, by = 10)))
Error in h(simpleError(msg, call)): Fehler bei der Auswertung des Argumentes 'x' bei der Methodenauswahl für Funktion 'plot': Objekt 'sp_rich_pred' nicht gefunden
plot(water_raster, col = "darkslategray1",  legend=FALSE, add = TRUE)
Error in graphics::rasterImage(x$r, x$ext[1], x$ext[3], x$ext[2], x$ext[4], : plot.new has not been called yet
# writeRaster(sp_rich_pred, my_output_directory)

EXTRA INFO

In iNEXT package also calculates asymptotic diversity metrics. The estimated asymptotes area calculated via the functions

  • ChaoRichness() for q = 0
  • ChaoShannon() for q = 1
  • EstSimpson() for q = 2

For example, to estimate the species richness

ChaoRichness(spider, datatype = "abundance")
        Observed Estimator Est_s.e. 95% Lower 95% Upper
Girdled       26    43.893   14.306    30.511    96.971
Logged        37    61.403   18.532    43.502   128.583

Exercise

Some exercises.

###
## Diversity Analysis Exercise

# 1. Load the data
## - 1.1. the bird data 'birds_berlin_exercise_planillo2021.csv' and explore it (use head(), str())
## - 1.2. the environmental data 'birds_transects_allenvir_100m.csv' and explore it  

# 2. Estimate alpha diversity:
## - 2.1. Choose the diversity index: q = 1 or q = 2
## - 2.2. Rarefy the samples to the appropriate size and estimate the rarefied values

# 3. Predict Hill number 1 or 2 in Berlin
## - 3.1. Choose environmental variables (up to 3) 
## - 3.2. Run model with the diversity values and the environmental variables
## - 3.3. Plot the predictions

#~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~#
#### for those who like challenges
# 4. Estimate beta diversity:
## 4.1. Jaccard dissimilarity (for each pair of sites)
## 4.2. Bray-Curtis dissimilarity (for each pair of sites) 
## 4.3. Compare the output of both beta-diversity metrics



Session Info
Sys.time()
[1] "2023-02-22 10:42:00 CET"
#git2r::repository() ## uncomment if you are using GitHub
sessionInfo()
R version 4.2.2 (2022-10-31 ucrt)
Platform: x86_64-w64-mingw32/x64 (64-bit)
Running under: Windows 10 x64 (build 19044)

Matrix products: default

locale:
[1] LC_COLLATE=German_Germany.utf8  LC_CTYPE=German_Germany.utf8   
[3] LC_MONETARY=German_Germany.utf8 LC_NUMERIC=C                   
[5] LC_TIME=C                      

attached base packages:
[1] stats4    stats     graphics  grDevices utils     datasets  methods  
[8] base     

other attached packages:
 [1] here_1.0.1      terra_1.6-41    forcats_0.5.2   stringr_1.4.1  
 [5] dplyr_1.0.10    purrr_0.3.5     readr_2.1.3     tidyr_1.2.1    
 [9] tibble_3.1.8    ggplot2_3.4.0   tidyverse_1.3.2 sads_0.4.2     
[13] bbmle_1.0.25    iNEXT_3.0.0     vegan_2.6-4     lattice_0.20-45
[17] permute_0.9-7   knitr_1.41     

loaded via a namespace (and not attached):
 [1] nlme_3.1-160        fs_1.5.2            lubridate_1.9.0    
 [4] httr_1.4.4          rprojroot_2.0.3     GUILDS_1.4.5       
 [7] numDeriv_2016.8-1.1 tools_4.2.2         backports_1.4.1    
[10] bslib_0.4.1         utf8_1.2.2          R6_2.5.1           
[13] DBI_1.1.3           mgcv_1.8-41         colorspace_2.0-3   
[16] withr_2.5.0         tidyselect_1.2.0    compiler_4.2.2     
[19] rvest_1.0.3         textshaping_0.3.6   cli_3.4.1          
[22] xml2_1.3.3          labeling_0.4.2      bookdown_0.30      
[25] sass_0.4.4          scales_1.2.1        mvtnorm_1.1-3      
[28] systemfonts_1.0.4   digest_0.6.30       rmarkdown_2.18     
[31] pkgconfig_2.0.3     htmltools_0.5.3     highr_0.9          
[34] dbplyr_2.2.1        fastmap_1.1.0       rlang_1.0.6        
[37] readxl_1.4.1        rstudioapi_0.14     VGAM_1.1-7         
[40] farver_2.1.1        jquerylib_0.1.4     generics_0.1.3     
[43] jsonlite_1.8.4      googlesheets4_1.0.1 magrittr_2.0.3     
[46] Matrix_1.5-1        Rcpp_1.0.9          munsell_0.5.0      
[49] fansi_1.0.3         lifecycle_1.0.3     stringi_1.7.8      
[52] yaml_2.3.6          MASS_7.3-58.1       plyr_1.8.8         
[55] grid_4.2.2          parallel_4.2.2      crayon_1.5.2       
[58] bdsmatrix_1.3-6     haven_2.5.1         splines_4.2.2      
[61] hms_1.1.2           pillar_1.8.1        codetools_0.2-18   
[64] reshape2_1.4.4      reprex_2.0.2        glue_1.6.2         
[67] evaluate_0.18       modelr_0.1.10       vctrs_0.5.1        
[70] rmdformats_1.0.4    tzdb_0.3.0          cellranger_1.1.0   
[73] gtable_0.3.1        assertthat_0.2.1    cachem_1.0.6       
[76] xfun_0.35           broom_1.0.1         ragg_1.2.4         
[79] googledrive_2.0.0   gargle_1.2.1        poilog_0.4.2       
[82] cluster_2.1.4       timechange_0.1.1    ellipsis_0.3.2